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y′+9x=4+7yIs y=e7x −5x+4 a solution to the differential equation shown above?

Question
y′+9x=4+7y
Is y=e7x −5x+4 a solution to the differential equation shown above?
 
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Step 1

We have to find  y is a s olution of this differential equation or not.

y and differential equation is given below:

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Step 2

We will use following rules of derivative to find answer.

Rules are given below:

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Step 3

With the help of above rules first we will find dy/dx .

After that we will put the value of dy/dx and y in the differential; equation an...

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Math

Calculus

Differential Equations

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