4. For each differential equation and function x₁(t) given in parts (a)-(c), x₁(t) is a solution to the differential equation (you DON'T have to verify this). Find the general solution to the differential equation. (a) tx" (4t+2)x' + (4t+4)x=0, x₁(t) = e²t

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.CR: Chapter 11 Review
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4. For each differential equation and function x₁(t) given in parts (a)-(c), x₁(t) is a solution to
the differential equation (you DON'T have to verify this). Find the general solution to the
differential equation.
(a) tx" - (4t+2)x' + (4t+4)x=0, x₁(t) = e²t
Transcribed Image Text:4. For each differential equation and function x₁(t) given in parts (a)-(c), x₁(t) is a solution to the differential equation (you DON'T have to verify this). Find the general solution to the differential equation. (a) tx" - (4t+2)x' + (4t+4)x=0, x₁(t) = e²t
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