Solving ordinary second-order differential equation I have this ODE:

ruililorNokmncf

ruililorNokmncf

Answered question

2022-04-02

Solving ordinary second-order differential equation
I have this ODE:
z¨+(3x˙x+y˙y)z˙=0
Can it be solved to get z in terms of a and b ?

Answer & Explanation

Gia Edwards

Gia Edwards

Beginner2022-04-03Added 12 answers

Step 1
z¨+(3x˙x+y˙y)z˙=0
dz¨z˙+3x˙x+y˙y=0
Step 2
lnz˙+3lnx+lny=C
z˙x3y=c1
You can't go further and integrate this DE. You need to knwo what x(t) and y(t) are. You need further informations.

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