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))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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this is base on diffrenecial equation questions 

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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