Updated on March 16, 2024
| differential | The differential equation y' = y can be solved by separation of variables. |
| above | The result of the above equation is 10. |
| linear | The equation 2x + 5 = 11 is a linear equation |
| general | The general equation of a circle is (x - h)^2 + (y - k)^2 = r^2. |
| characteristic | The characteristic equation of the differential equation is 4x^2-20x+25=0. |
| second | Solve for the variables in the second equation |
| integral | The two-dimensional integral equation is solved by successive approximations. |
| simple | The simple equation 2 + 2 = 4, is a great example of the basics of mathematics. |
| single | The single equation was the solution to the complex problem. |
| quadratic | The quadratic equation ax^2 + bx + c = 0 has two solutions, given by the quadratic formula. |
| basic | The basic equation for motion is F = ma. |
| partial | The partial equation is a mathematical equation that involves partial derivatives of the unknown function. |
| personal | The personal equation between the two leaders was frosty. |
| last | We plugged in our values for the last equation |
| fundamental | The fundamental equation of thermodynamics describes the relationship between heat, work, and changes in internal energy in a thermodynamic system. |
| original | The original equation is still the same. |
| nonlinear | Solving the nonlinear equation was quite a challenge. |
| corresponding | The corresponding equation is $y = 2x + 1$. |
| dimensional | The dimensional equation is a mathematical equation that expresses the equality of two or more physical quantities expressed in terms of their dimensions. |
| mathematical | The mathematical equation was so complex that it took me hours to solve it. |
| ordinary | "Find out the first-order partial derivatives of the given first-order ordinary equation" |
| constitutive | The constitutive equation for an elastic material is a mathematical relationship between stress and strain. |
| empirical | Empirical equations are derived by means of applying data. |
| homogeneous | The function f(x) satisfies a homogeneous equation if f(cx) = c^r f(x), where c is a constant and r is a rational number. |
| balanced | The balanced equation shows the number of atoms of each element on both sides of the equation is equal. |
| kinetic | The kinetic equation describes the time evolution of the particle velocity distribution function. |
| third | The third equation in the system is x + y = 5. |
| final | The final equation is obtained by solving the differential equation. |
| cubic | The cubic equation has three real roots. |
| dirac | The Dirac equation is a relativistic wave equation that describes the behavior of electrons and other subatomic particles. |
| multiple | This problem has multiple equations and is difficult to solve. |
| arrhenius | The Arrhenius equation describes the temperature dependence of reaction rates. |
| order | Solve the third order equation |
| structural | The results of the structural equation modeling revealed significant effects of gender on career satisfaction. |
| appropriate | The appropriate equation to use depends on the specific problem you are trying to solve. |
| generalized | The generalized equation for the reaction is A + B -> C |
| logistic | The logistic equation models population growth with limited resources. |
| functional | A functional equation is an equation that involves a function and its values. |
| classical | The equation of a circle is a classical equation |
| modified | The modified equation was able to accurately predict the results of the experiment. |
| secular | The secular equation of the matrix is a polynomial equation whose roots are the eigenvalues of the matrix. |
| dependent | The dependent equation needs to be solved in terms of the independent equations. |
| dynamic | The dynamic equation governs the motion of the system. |
| exact | |
| latter | The latter equation is used to calculate the force of gravity. |
| stochastic | The stochastic equation describes the evolution of a random variable over time. |
| standard | Solve for x in the standard equation 3x + 5 = 14. |
| linearized | The linearized equation which is also called a linear approximation, is a differential equation that is derived from the original equation by making a first-order Taylor expansion around a certain point. |
| ideal | The ideal equation of state is a mathematical equation that describes the behavior of a gas under idealized conditions. |
| complex | The complex equation was too difficult for me to solve. |
| overall | The overall equation for the reaction is: 2H2 + O2 → 2H2O. |
| hasselbalch | The Hasselbalch equation is used to calculate the pH of a solution. |
| exponential | The exponential equation e^x = 2x can be solved using the Lambert W function. |
| independent | The independent equation is the equation that does not depend on other equations. |
| two | The two equations are equivalent. |
| parabolic | The parabolic equation describes the motion of a projectile under the influence of gravity. |
| known | The density equation is a known equation |
| famous | Physicists are familiar with the famous equation E=mc^2 |
| transcendental | The transcendental equation was highly complex and took many years to solve. |
| theoretical | The theoretical equation for the trajectory of the projectile is y = -0.5 * g * t^2 + v0 * t + h. |
| relativistic | The relativistic equation E = mc^2 is one of the most famous equations in physics. |
| simultaneous | Simultaneous equation is a useful concept in mathematics. |
| fourth | I don't know the fourth equation |
| net | The net equation for the reaction is given by CO + O2 → CO2. |
| radial | The radial equation is a differential equation that describes the radial part of the wavefunction of an electron in an atom. |
| foregoing | The foregoing equation calculates the area of a circle. |
| familiar | The familiar equation of the area of a circle was on the blackboard. |
| thermal | The thermal equation was used to calculate the heat transfer between the two surfaces. |
| state | The state equation describes the relationship between the pressure, volume, and temperature of a gas. |
| implicit | The implicit equation x^2 + y^2 - 4 = 0 represents a circle with a radius of 2. |
| inhomogeneous | The inhomogeneous equation can be solved using the method of undetermined coefficients. |
| diffusion | The diffusion equation describes how a substance spreads out over time. |
| hydrostatic | The hydrostatic equation is a fundamental equation in fluid mechanics that describes the pressure at any point in a fluid. |
| called | |
| equivalent | The equivalent equation of x2 - 5x - 6 = 0 is (x - 6)(x 1) = 0. |
| simplified | The simplified equation is much easier to understand. |
| correct | The answer is correct equation |
| auxiliary | The auxiliary equation of the given differential equation is obtained by replacing (y), (rac{dy}{dx}), and (rac{d^2y}{dx^2}) with (m), (m^2), and (m^3), respectively. |
| elliptic | The elliptic equation can be used to model various physical phenomena. |
| lagrange | The Lagrange equation is a differential equation that describes the motion of a dynamical system. |
| polar | The polar equation of a circle with radius r and center at the origin is r = a constant. |
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