Question
Asked May 18, 2019
y′−y=2x+5
y(0)=−6
Given the initial value problem above, determine if y=ex −2x−7 is a solution.
 
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Expert Answer

Step 1

The given differential equation is y′−y=2x+5.

The solution of the deferential equation is given as, y=ex −2x−7.

Differentiate  y=ex −2x−7 with respect to x.

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Step 2

Substitute y’= ex -2 and y=ex −2x−7 in y′−y=2x+5.

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Step 3

solve LH...

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Tagged in

Math

Calculus

Differential Equations