Question: Solve the following differential equations. If an initial condition is given, also find the solution that satisfies it.(1).dydx=x3-2yx(2).dydx=1cos(x)2-sin(y)(3).dydx=2xy33y2-x,y(0)=0(4).tdydt(t1)y=e2t

Solve the following differential equations. If an initial condition is given, also find the solution that satisfies it.(1).dydx=x3-2yx(2).dydx=1cos(x)2-sin(y)(3).dydx=2xy33y2-x,y(0)=0(4).tdydt(t1)y=e2t

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