Asked May 18, 2019
Determine if y=e−x+8x−9 is a solution to the initial value problem given by y′+1=8x−y and y(0)=−8.

Expert Answer

Step 1

The given differential equation is y′+1=8x−y.

The solution of the deferential equation is given as, y=e-x +8x−9

Differentiate  y=e-x +8x−9 with respect to x.

Step 2

Substitute y’=- e-x +8 and y=e-x +8x−9 in y′+1=8x−y.

Step 3

solve LHS...


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