Given that y, (x) = e-2* is a solution of the differential equation y" – 4y = 0. If we use the reduction of order method, the second solution of the given equation is: O None of them O y_2 (x)=e^(2x)/4 O y_2 (x)=vx O y_2 (x)=x+1 The solution of the following linear differential equation xy'-3y == is: O yx)=c(x*4)+x*5 O y(x)=2x-1+ce*(-2x) O y(x)=-1/(4x)+cx*3 x>0 O None of them

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given that y, (x) = e-2* is a solution of the differential equation y" – 4y = 0. If
we use the reduction of order method, the second solution of the given equation
is:
O None of them
O y_2 (x)=e^(2x)/4
O y_2 (x)=vx
O y_2 (x)=x+1
The solution of the following linear differential equation xy'-3y == is:
O yx)=c(x*4)+x*5
O y(x)=2x-1+ce*(-2x)
O y(x)=-1/(4x)+cx*3 x>0
O None of them
Transcribed Image Text:Given that y, (x) = e-2* is a solution of the differential equation y" – 4y = 0. If we use the reduction of order method, the second solution of the given equation is: O None of them O y_2 (x)=e^(2x)/4 O y_2 (x)=vx O y_2 (x)=x+1 The solution of the following linear differential equation xy'-3y == is: O yx)=c(x*4)+x*5 O y(x)=2x-1+ce*(-2x) O y(x)=-1/(4x)+cx*3 x>0 O None of them
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