First-Order Differential Equations

Practice Questions

Differential Equations › First-Order Differential Equations

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1

Solve the following differential equation

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

2

Find the general solution of the differential equation

$\frac{dy}{dx} - 5y = -\frac{5}{2}xy^3$

3

Find the solution for the following differential equation:

where .

4

Find the general solution of the given differential equation and determine if there are any transient terms in the general solution.

$x\frac{dy}{dx}+3y=x^4-x$

5

Solve the general solution for the ODE:

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

6

Find the general solution of the differential equation

$\frac{dy}{dx} - 5y = -\frac{5}{2}xy^3$

7

Find the general solution of the given differential equation and determine if there are any transient terms in the general solution.

$x\frac{dy}{dx}+3y=x^4-x$

8

Find the solution for the following differential equation:

where .

9

Solve the general solution for the ODE:

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

10

Solve the following differential equation

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

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