Question

What is the particular solution for

y′=5e^{x} −6x^{3} +4x

such that y(0)=−8? Do not include "y=" in your answer.

Step 1

The given differential equation is, y′=5e^{x} −6x^{3} +4x.

Step 2

Integrate both the sides of dy=(5e^{x} -6x^{3} +4x)dx

Step 3

Where C is the integration constant.

Since y(0)=-8 is given.

Substitute y=-8...

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