Given the differential equation dP/Dt=5P

A) Find the general solution for P to the differential equation

B)Find the particular solution for P to the differential equation given P(0)= 418

Solve the following differential equations:
 $\frac{\text{d}y}{\text{d}x}=e^x$  

Let $\frac{dy}{dx}=-0.4y$ and  $y=5\$  when  $x=0$  .  

What is the solution for  $y$  ?

Solve the differential equation $\frac{dy}{dt}=\frac{3t^2}{y}$   with initial condition 𝑦(2) = 0.