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Question

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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