x"+4r+3r = e +e cost+ sin 3t Consider the second-order differential equation ta"-(1+t)+x = 0 a. Show that 1 =e is a solution. / b. Find the general solution.

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 18E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Number 6 A and B please
par
ition but D O NOT determine t
coefficients.
2"+4r' +3r = e +e cos t+ sin 3t
-31
6. Consider the second-order differential equation
ta" - (1+t)a +x= 0
a. Show that r1 =
e' is a solution. /
b. Find the general solution.
OMEN
Transcribed Image Text:par ition but D O NOT determine t coefficients. 2"+4r' +3r = e +e cos t+ sin 3t -31 6. Consider the second-order differential equation ta" - (1+t)a +x= 0 a. Show that r1 = e' is a solution. / b. Find the general solution. OMEN
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