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# Finding a Particular Solution In Exercises $37-44,$ find the particular solution of the differential equation that satisfies the initial condition(s).$f^{\prime}(x)=6 x, f(0)=8$

## $f(x)=3 x^{2}+8$

Integrals

Integration

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##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

37 And they want us to find a solution. Given the initial condition, we're F fried eggs. Hee Won's 66 and F zero equals eight. So we are going to integrate to find original function. Plug in our values 08 and sell for C. So when I take the indefinite integral six X Yes, I'm going again. Thanks. Add one to the expo to multiply the politician. So that gives me three. Thanks, C Well, we have to find out what C is. So you knew that home F zero equals eight eight week wolves three times zero c There, you see? Answer three x here.

University of Houston

#### Topics

Integrals

Integration

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp