Calculus AB - Find General and Particular Solutions Using Separation of Variables

1

Find the particular solution for $x ={\pi}$ using the point $(\frac{pi}{2},0)$ of the following differential equation.

$\frac{dy}{dx} = \frac{-sin(x)}{2y}$

2

Find the particular solution for $x ={\pi}$ using the point $(\frac{pi}{2},0)$ of the following differential equation.

$\frac{dy}{dx} = \frac{-sin(x)}{2y}$

3

Find the general solution of the following differential equation at the point .

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

4

Find the general solution of the following differential equation at the point .

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

5

Use separation of variable to solve the following differential equation: $\frac{dy}{dx} = \frac{4x}{y}$

6

Use separation of variable to solve the following differential equation: $\frac{dy}{dx} = \frac{4x}{y}$

7

What is separation of variables?

8

What is separation of variables?

9

When would one need to use separation of variables?

10

When would one need to use separation of variables?

Find General and Particular Solutions Using Separation of Variables