The solution of a certain differential equation is of the form y(t) = aet + bet, 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. y(t)= =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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The solution of a certain differential equation is of the form y(t) = aet + bet, where a and bare
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.
y(t) =
Transcribed Image Text:The solution of a certain differential equation is of the form y(t) = aet + bet, where a and bare 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. y(t) =
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9780321964038
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Pearson Addison Wesley,