Question
Asked Jan 20, 2020
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The solution of a certain differential equation is of the form y(t)=a^(3t)+b^(5t), where a and b are constants. The solution has initial conditions y(0)=4 and y′(0)=3. Find the solution by using the initial conditions to get linear equations for a and b.

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Expert Answer

Step 1

Given solution of a certain differential equation is,

Advanced Math homework question answer, step 1, image 1
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Step 2

Differentiate given equation with respect to t,

Advanced Math homework question answer, step 2, image 1
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Step 3

Using initial conditions in equat...

Advanced Math homework question answer, step 3, image 1
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