Question

Differential equations by separation of variables

Answer 1

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Below is the solution:

xdy/dx = 4y 
xdy = 4ydx 
∫ dy/y =∫ 4dx/x 
ln(y) = 4ln(x) + C 
y = e^[4ln(x)] e^C 
y = e^[ln(x)^4] e^C 
y = Cx^4 answer