Question

Is y=e^{6x} −3x−2 a solution to the differential equation shown below?

y′−6y=7x+3

Step 1

Here given differential equation is:

Find the solution of given differential equation and match the given solution that is

Step 2

Solve the given differential equation.

Standard form of first order differential equation is :

Now compare both the differential equations, we get:

Step 3

In order to solve the ordinary first order differential equa...

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