# Problem solving a separable differential equation for u

Gold Member

## Homework Statement

Solve the separable differential equation for u

du/dt=e^(5u+2t)

Use the following initial condition: u(0)=13

## The Attempt at a Solution

Honestly I didn't get very far on this one. I took the natural log of both sides,

ln du/dt = 5u+2t

And now I am stuck. Should I divide both sides first by our e^(5u+2t) instead of taking the ln?

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Mark44
Mentor

## Homework Statement

Solve the separable differential equation for u

du/dt=e^(5u+2t)

Use the following initial condition: u(0)=13

## The Attempt at a Solution

Honestly I didn't get very far on this one. I took the natural log of both sides,

ln du/dt = 5u+2t

And now I am stuck. Should I divide both sides first by our e^(5u+2t) instead of taking the ln?

Hint: Use the laws of exponents to split e5u + 2t.

• 1 person
Gold Member
Hint: Use the laws of exponents to split e5u + 2t.

Damn it...

Thank you, its been a long night.