Initial-Value Problems

Practice Questions

Differential Equations › Initial-Value Problems

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1

Solve for y

2

If is some constant and the initial value of the function, is six, determine the equation.

3

$\frac{dy}{dx}=\frac{4x^2-7x}{3y^2+2}$

4

Solve the initial value problem for .

5

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

With

6

Solve the separable differential equation

$\frac{dy}{dx}=\frac{sec(y)}{csc(x)}$

with the initial condition $y(\frac{\pi }{4})=\frac{\pi }{4}$

7

Solve the differential equation

$-2y\frac{dy}{dx}+x^2+2x^4=0$

Subject to:

8

Solve the differential equation for y

$\frac{dy}{dx}=\frac{3x^2+2x+6}{2y}$

subject to the initial condition:

9

If is some constant and the initial value of the function, is six, determine the equation.

10

If is some constant and the initial value of the function, is six, determine the equation.

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