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Tutorial Exercise

Find the general solution to the given differential equation.

dy _ 7x- + 5x

dx

Step 1

This is a separable differential equation because it can be written in the form g(y) dy = R(x) dx.

dy_

dx

7×2 + 5x

y +6

y+6

dy =

(7×2+ 5x

7×4 + 5x

dx

Stop 2

Now that we have separated the variables, we integrate both sides. Allow the constant of integration C on the

right hand side to represent the combination of both integrals’ constants.

(x + 6) dy = / ( 7* 2 + 5x ) Ox

C

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