How to solve systems of differential equations using the command NSolveODE?

jospercomp shared this question 4 months ago
Answered

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

Best Answer
photo

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)

Comments (6)

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1

case1 and case2 case3 with initial conditions added by me

case4 is wrong

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1

You decide the initial conditions in the case1, case2, and case3 after the Locus solution does not give indefinite.

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2

I suppose d^2y/dt^2=4x-e^t in case4

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Case 4:

d^2x/dt^2=4y+e^t

d^2y/dt^2=4x-e^t


This is the correct syntaxis in case 4:

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1

Thank you so much for the answer in case 4:

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2

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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