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Find the particular solution that satisfies the initial condition.

0 votes

Find the particular solution that satisfies the initial condition.

Differential equation                                              Initial condition       

asked Feb 16, 2015 in CALCULUS by anonymous
reshown Feb 16, 2015 by goushi

1 Answer

0 votes

Step 1:

The differential equation is .

The initial condition is .

Multiply each side by 2.

image

Apply integral on each side.

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Apply formula image.

image

The solution of the differential equation is .

Step 2:

The initial condition is .

Substitute and in .

Substitute in the solution of the differential equation.

Take exponents of each side.

Apply natural logarithms formula .

The solution of the differential equation is .

Solution:

The solution of the differential equation is .

answered Feb 23, 2015 by Sammi Mentor

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