Tag: ordinary differential equations
- How should I find the nontrivial solution to this differential equation using the method of undetermined coefficients
- Can an unstable focus be an $\omega$-limit point
- A troubling differential equation: $(xy+2y+x+2)y’=e^{-y}(x+3)$
- Solve the initial value problem $y’=e^{-y^2}+1, \, y(0)=0$
- Solve $\frac{\operatorname dy}{\operatorname dx}=\sin(x+y)$ (again)
- Particular solution of this second order differential equation
- Solving the Differential Equation $ xy(x)y'(x) = y(x) – 1 $
- Implement Runge-Kutta 4 method to calculate the trajectory of a particle in a vector field
- Find the derivative of the function $f(x)=\int_{0}^\infty e^{-y^2-(x/y)^2} dy$
- The functions $f(x)$ and $g(x)$ satisfy $f(0) = 3,$ $g(0) = -4,$ and $f'(x) = 7f(x) + 2g(x)$ and $g'(x) = -4f(x) + g(x).$ Find $f(x).$