If the solution curve of the differential equation passes through the point then the abscissa of the point on the curve whose ordinate is is

Question

If the solution curve of the differential equation  passes through the point  then the abscissa of the point on the curve whose ordinate is  is

Canvas Classes · Accepted Answer

🧠 Linear in  With IF

Read: .

Treat  as function of : , so .

Linear in . IF .

The visible cue:  appears explicitly, and  in the denominator  IF involves .

🗺️ Working It Out

Multiply by IF: .

Substitute , . RHS integrand becomes . .

So , giving .

Apply : . , .

At : . . Answer: (b).

⚡ The Smart Move —  for

The cleanup at the end:  because  radian is in the principal range. Memorise this composition identity.

Also: . Standard integration by parts.

⚠️ Where Students Get Stuck — Re

More questions from this chapter