Question: 1- Solve the differential equation. du/ dt =( 4 + t^4) / ( ut 2 + u 4 t 2 ) 2- Solve the differential

1- Solve the differential equation.

du/ dt =(4 + t^4) / ( ut2 + u4t2 )

2- Solve the differential equation. (Use C for any needed constant. Your response should be in the form 'z=f(t)'.)

(dz/ dt )+ 2et + z = 0

3- Find the solution of the differential equation that satisfies the given initial condition.

du/ dt =( 2t + sec2(t) ) / 2u , u(0) = 1

u = ?

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