Q.A. Find the general solution for the following equation y '' - 4y ' + 6.25y = e 2x (20points)Q.B....

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Q.A. Find the general solution for the following equation y '' - 4y ' + 6.25y = e 2x (20points)Q.B. Solve the following initial value problem y '' + 2y ' + 3y = 2x, y(0) = 1, y ' (0) = 0, (20points)Q.C. Find the general solution of y '' + 2y ' + 2y = cos(2x), (20points)Q.D. Find the general solution of the following equation y ' = x(y - 1) x - 2 ,(20points)Q.E. Find the solution of xy ' - 4y = x 4 , y(1) = 2, (20points)REM: R uv'dx = uv - R u ' vdx
	
Document Preview: MA 2051 TEST I MAKEUP Term D, 2017
Q.A. Find the general solution for the following equation
'' ' 2x
y -4y +6.25y = e (20points)
Q.B. Solve the following initial value problem
'' ' '
y +2y +3y =2x, y(0)=1, y(0)=0, (20points)
Q.C. Find the general solution of
'' '
y +2y +2y =cos(2x), (20points)
Q.D. Find the general solution of the following equation
x(y-1)
'
y = ,(20points)
x-2
Q.E. Find the solution of
' 4
xy -4y = x , y(1)=2, (20points)
R R
' '
REM: uv dx= uv - u vdx
YOU MUST SHOW AND EXPLAIN ALL YOUR STEPS OTHERWISE ZERO CREDIT
WILL BE ASSIGNED. ALL problems MUST be solved by methods presented in class.
1

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Q.A. Find the general solution for the following equation y '' - 4y ' + 6.25y = e 2x (20points) Q.B. Solve the following initial value problem y '' + 2y ' + 3y = 2x, y(0) = 1, y ' (0) = 0, (20points)...

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