Find the general solution of the following equations. \frac{dy}{dt}=\frac{3t^{2}}{y}

Haven

Haven

Answered question

2021-04-04

Find the general solution of the following equations.
dydt=3t2y

Answer & Explanation

falhiblesw

falhiblesw

Skilled2021-04-06Added 97 answers

Step 1
Given equation is dydt=3t2y
To find the general solution of the following equations.
Solution:
Separating the variables of differential equation.
dydt=3t2y
ydy=3t2dt
Integrating on both sides,
ydy=3t2dt
y22=3t33+Cprime
y2=2t3+2Cprime
y2=2t3+C,whereC=2Cprime
Step 2
Hence, the general solution is y2=2t3+C.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-20Added 2605 answers

Answer is given below (on video)

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