Solve the differential equation with the given initial

Question

1) Solve the differential equation. (Note: The constant of integration, C, will appear in your answer.)

dy/dt = te^2y

2) Solve the differential equation. (Note: The constant of integration, C, will appear in your answer.) dy/dt = -1/t⁷y¹⁰

3) Solve the differential equation with the given initial condition.y' = y⁷ - e^4ty⁷, y(0) = 1