If y = e^a cos ^(-1 x), show that (1-x^2) (d^2 y)/(d^2) x-x (d y)/(d x)-a^2 y=0.

Name: if y = $e^{a \cos ^{-1} x}$, show that $\left(1-x^{2}\right) \frac{d^{2} y}{d^{2} x}-x \frac{d y}{d x}-a^{2} y=0$.
Brand: QuestionAI
Rating: 4.2 (189 reviews)

Question

If y = e^a cos ^(-1 x), show that (1-x^2) (d^2 y)/(d^2) x-x (d y)/(d x)-a^2 y=0.

Answer 1

Therefore, 

 ... (i)Divide w.r.t.x again, and we get

= – a ( -ay ) [ from i ].Hence 

Question

If y = e^a cos ^(-1 x), show that (1-x^2) (d^2 y)/(d^2) x-x (d y)/(d x)-a^2 y=0.

Solution

Answer