Answered

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Solve the differential equation dx/dt = 3xt²

Sagot :

Answer:

Step-by-step explanation:

dx/dt = 3xt²

Divide both sides by x

(dx/dt)/x  = 3t²

Integrate  with respect to t

Int  (dx/dt)/x dt = int 3t^2 dt

           ln x             = t^3

x =  Ae^(t^3)    where A is a constant

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