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Verify the particular solution of the differential equation.

Verify the particular solution of the differential equation.

Solution Differential Equation and initial condition

asked Feb 3, 2015 in CALCULUS by anonymous
reshown Feb 3, 2015 by goushi

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1 Answer

Step 1:

The function is .

Apply derivative on each side with respect to .

Step 2:

Verify the differential equation and initial condition .

Consider .

Rewrite the expression.

( Since )

The differential equation is verified.

Substitute in above function.

The initial condition is verified.

Solution :

The differential equation is verified.

The initial condition is verified.

answered Feb 6, 2015 by joseph Apprentice

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