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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