Differential Equations

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

2. Solve the differential equation

𝑑𝑦/𝑑𝑡 =3𝑡²/𝑦 with initial condition

𝑦(2) = 0.

what would the sign of the square root after finding c be given the initial condition g(1)= -5

Dy/dx= tanx+15x2+e^x+1/x

In drawing the slope field for the differential equation , I would place short slope lines of _________ at the points (0,1), (1,-1), and (2,-2)
  $\frac{dy}{dx}=2x-3y$  

Select all that apply

Which choice below represents this slope field?

Find the mistake if possible:

Of the following, which is a solution to the differential equation, select all that apply:
 $y''-6y'+8y=0$  

Which slope field is represented by dy/dx = x²?