Which of the following represents the general solution to the differential equation $\frac{dy}{dx}=\frac{1}{x}\left(\ln 2\right)$?

What is the general solution to the differential equation $\frac{dy}{dx}=8e^{4x^2}cos\left(2y\right)$?

What is the general solution to the differential equation $\frac{dy}{dx}=x-13y^2$ for $y>0$?

Which of the following is the solution to the differential equation $\frac{dy}{dx}=4xy$, where $y\left(2\right)=-2$?

Which of the following functions is a solution to the differential equation $4y+y^{″}=0$?

Of the following, which is not a solution to the differential equation $y^{″}+9y=0$?

Solve the differential equation $y^{\text{'}\text{'}}+y=\sin \left(x\right)$ using the method of variation of parameters. Which of the following is the general solution?

Given the linear system of differential equations $$\begin{array}{l}\frac{\partial x}{\partial t}=2x+y\\ \frac{\partial y}{\partial t}=x+2y\end{array}$$find the most general real-valued solution.

Find the general solution of the second-order differential equation $3y^{″}+2y^{\prime }+y=0$.