New posts in Initial Value Problems

Without solving explicitly show that for the IVP $x'=x^{3}-x,x(0)=0.5$ the solution converges to $0$ for $t\rightarrow\infty$

Solve the initial value problem: $\frac{dy}{dx} = e^{x+y}$, given $y(0)=0$.

Loan Interest Question

finding a solution for this recurrence relation

On the smooth dependence on initial conditions for the following ODE

The IVP $\begin{cases}\dot{x}=x^3+e^{-t^2}\\x(0)=1\end{cases}$ possesses a solution in $I=(-1/9,1/9)$