Mathematics - Differential Equations - First-order ODEs - Solve First-Order ODEs

10 problems: (1-3) Separable: dy/dx=y², dy/dx=x/y, dy/dx=eˣ·eʸ. (4-5) Linear: dy/dx+3y=6, dy/dx-y/x=x². (6-7) With initial conditions: dy/dx=2xy, y(0)=1; dy/dx+y=eˣ, y(0)=0. (8) 'Population grows at rate proportional to size, doubles in 5 years. Write and solve the ODE.' (9) 'Newton's cooling: dT/dt