Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t x'=6x-10y + sint y' = 5x - 4y - cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. OA. y(t) = C₁ e 2 cos 5t+C₂e sin 5t+ OB. y(t)=C₁e+Cate ¹+ cost+ 162 629 OC. y(t)=C₁e' cos 5t + C₂e¹ sin 5t+ 162 629 cost+ 162 629 138 629 162 629 cost+ 138 629 sint cost + 138 629 OD. y(t)=C₁e¹cos 5t+C₂esin 5t+ cost+ sint 162 138 629 629 OE. y(t)=C₁e¹+C₂te¹+ sin t 138 629 sint sint
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t x'=6x-10y + sint y' = 5x - 4y - cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. OA. y(t) = C₁ e 2 cos 5t+C₂e sin 5t+ OB. y(t)=C₁e+Cate ¹+ cost+ 162 629 OC. y(t)=C₁e' cos 5t + C₂e¹ sin 5t+ 162 629 cost+ 162 629 138 629 162 629 cost+ 138 629 sint cost + 138 629 OD. y(t)=C₁e¹cos 5t+C₂esin 5t+ cost+ sint 162 138 629 629 OE. y(t)=C₁e¹+C₂te¹+ sin t 138 629 sint sint
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to
t
x'=6x-10y + sint
y' = 5x - 4y - cost
Eliminate x and solve the remaining differential equation for y. Choose the correct answer below.
162
OA. y(t)=C₁e 2 cos 5t+C₂e sin 5t+ cost+
629
OB. y(t)=C₁e¹+C₂te¹+ cost+
162
629
138
629
162
629
162
OE. y(t)=C₁e + Cate+ cost+
629
sint
138
OC. y(t)=C₁e' cos 5t+C₂e' sin 5t+ cost +
629
162
OD. y(t)=C₁e¹cos 5t + C₂e sin 5t++ cost+
629
GITE
138
629
sint
138
629
sin t
sint
138
629
sint
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