Is this a class assignment?

 

Is this a class assignment?

I am solvin a guide.

 

I am solvin a guide.

Then it's not part of schoolwork?

 

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You only have one storage element so this shouldnt be too difficult.
You have to be able to first solve for the initial value of the capacitor and that is with the switch closed.
When the switch opens, the circuit topology changes slightly so you end up having to analyze a second circuit when the switch is open and in this second circuit the cap already has some DC voltage across it.
When the switch opens the cap voltage will change from the initial value to the final value.
So you first solve for the static initial value of the voltage of the cap, then with the second circuit analysis compute the dynamic change in capacitor voltage.
This is a first order response so it shouldnt be too difficult but it does depend on what you have solved in the past. Have you worked with differential equations or Laplace transforms?

I just noticed though that there is a little shortcut for finding the initial cap voltage. If you examine the circuit carefully you will see what it is. Makes this a lot easier to solve.

 

Not home work but a study exercise.

 

Oh then here is a hint:

With the switch closed there is no input to the circuit therefore the initial cap voltage is zero.
This is not that typical though often there will be a non zero initial cap voltage present that you have to solve for first.

 

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Have you considered asking your instructor or TA for help? That's what they're there for.