How to Solve Separable Differential Equations

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How to Solve Separable Differential Equations
6 Steps
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1
Here is a differential equation that we are going to solve by separation of variables.

Here is a differential equation that we are going to solve by separation of variables.

2
First we rewrite the equation in the differential form: h(y)dy=g(x)dx

First we rewrite the equation in the differential form: h(y)dy=g(x)dx

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3
Now we integrate both sides of the equation.

Now we integrate both sides of the equation.

4
Remember the + C. However . . .

Remember the + C. However . . .

5
. . . there is no need to write + C on the left side because it can be subtracted from + C on the right side. By subtracting an arbitrary constant from another arbitrary constant, you get + C

. . . there is no need to write + C on the left side because it can be subtracted from + C on the right side. By subtracting an arbitrary constant from another arbitrary constant, you get + C

6
Finally, we have the answer.

Finally, we have the answer.

Supplies

1 Tablespoon of basic calculus knowledge
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