Follow the steps to find the general solution y'+4ty = t5e(-4t^2)/2 a) Identify the integrating factor, μ(t). μ(t)= b) After multiplying both sides by the integrating factor and unapplying the product rule we get the new differential equation: d/dt[ ]= c) Integrate both sides to ghet an algebraic equation. UseC fot the arbitrary constant
Follow the steps to find the general solution y'+4ty = t5e(-4t^2)/2 a) Identify the integrating factor, μ(t). μ(t)= b) After multiplying both sides by the integrating factor and unapplying the product rule we get the new differential equation: d/dt[ ]= c) Integrate both sides to ghet an algebraic equation. UseC fot the arbitrary constant
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 16E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Follow the steps to find the general solution y'+4ty = t5e(-4t^2)/2
a) Identify the
μ(t)=
b) After multiplying both sides by the integrating factor and unapplying the product rule we get the new differential equation:
d/dt[ ]=
c) Integrate both sides to ghet an algebraic equation. UseC fot the arbitrary constant and place it with the right-hand=side expression.
d)Solve fpr y to find the general solution. Again, use C for the arbitrary constant.
y=
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