The general solution to the differential equation is the function y(t) equal to: d¹y dt4 dt2 d²y +10- +25y = 0 Select one: ○ c₁ cos(5+)+ €2 sin(5t) + t (c3 cos(√√5t) + c4 sin(√√5t)) Oc₁ cos(5) C2 sin(5t) + t (c3 cos(5t) + c4 sin(5t)) Oc₁ cos(√√5t) + €2 sin(√√/5t) + t (c3 cos(√5t) + c sin(√5t)) O none of these Oc₁ cos(√5t) + €2 sin(√√5t) + (c3 cos(5t) + c4 sin(5t))

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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Homogeneous Linear equations with constant coefficients


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The general solution to the differential equation
is the function y(t) equal to:
d¹y
dt4
dt2
d²y
+10- +25y = 0
Select one:
○ c₁ cos(5+)+ €2 sin(5t) + t (c3 cos(√√5t) + c4 sin(√√5t))
Oc₁ cos(5) C2 sin(5t) + t (c3 cos(5t) + c4 sin(5t))
Oc₁ cos(√√5t) + €2 sin(√√/5t) + t (c3 cos(√5t) + c sin(√5t))
O none of these
Oc₁ cos(√5t) + €2 sin(√√5t) + (c3 cos(5t) + c4 sin(5t))
Transcribed Image Text:The general solution to the differential equation is the function y(t) equal to: d¹y dt4 dt2 d²y +10- +25y = 0 Select one: ○ c₁ cos(5+)+ €2 sin(5t) + t (c3 cos(√√5t) + c4 sin(√√5t)) Oc₁ cos(5) C2 sin(5t) + t (c3 cos(5t) + c4 sin(5t)) Oc₁ cos(√√5t) + €2 sin(√√/5t) + t (c3 cos(√5t) + c sin(√5t)) O none of these Oc₁ cos(√5t) + €2 sin(√√5t) + (c3 cos(5t) + c4 sin(5t))
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