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anonymous
 5 years ago
Find all the solutions of the Differential Equation
dy/dt  2y^2 = ty^2
anonymous
 5 years ago
Find all the solutions of the Differential Equation dy/dt  2y^2 = ty^2

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I would say start with separating your variables. (all your y's on one side and the t's on the other)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0After that take an integral.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[y'[t]2 y^2=t y^2\to y'[t]=t y^2+2 y^2 \] \[\int\limits y'[t] \, dt=\int\limits \left(2 y^2+t y^2\right) \, dt \] \[y[t]=2 t y^2+\frac{t^2 y^2}{2} \]
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