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How to solve systems of differential equations using the command NSolveODE?
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How do I transcribe these systems of differential equations to the NSolveODE command?
Case 1:
dx/dt=x+3y
dy/dt=5x+3y
Case 2:
dx/dt=3x-4y+1
dy/dt=4x-7y+10t
Case 3:
dx/dt+dy/dt+2x=0
dx/dt+dy/dt-x-y=sin(t)
Case 4
d^2x/dt^2=4y+e^t
d^2x/dt^2=4x-e^t
The same question 
now I see my first comment
I attached the other cases but there was some error
Case 3:
dx/dt+dy/dt+2x=0
dx/dt-dy/dt-x-y=sin(t)
case1 and case2 case3 with initial conditions added by me
case4 is wrong
I suppose d^2y/dt^2=4x-e^t in case4
now I see my first comment
I attached the other cases but there was some error
Case 3:
dx/dt+dy/dt+2x=0
dx/dt-dy/dt-x-y=sin(t)
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