Separable Variables

Practice Questions

Differential Equations › Separable Variables

Questions

9

1

Solve the general solution for the ODE:

$\frac{dy}{dx}=x^8y$

2

Solve the following differential equation

$\frac{dy}{dx}=3x^2y$

3

Solve the following separable differential equation: with .

4

Solve the following equation

$\frac{1}{2}\frac{dy}{dx} = \sqrt{y+1}\cos(x) \ \ \ y(\pi) = 0$

5

Solve the following initial value problem: $6y' = y^4\sin(t)$ , .

6

Solve the given differential equation by separation of variables.

$x\frac{dy}{dx}=6y$

7

Is the following differential equation separable? If So, how does the equation separate?

$\frac{dy}{dt}= e^{t+y}$

8

Solve the given differential equation by separation of variables.

$x\frac{dy}{dx}=6y$

9

Is the following differential equation separable, if so, how does the equation separate?

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