If Y = Sin(m sinx), then show that (1-x)yn+2 - (2n+1)xy n+1 + (m-n)y = 0...

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If Y = Sin(m sinx), then show that (1-x)yn+2 - (2n+1)xy n+1 + (m-n)y = 0 2. Apply Maclaurin's series to find the expansion of lim Tan 2a ==(2-4)** 3. Evaluate: xa 2- ex as far as the term in x 1+e* 4. Find the asymptotes of the curve x(x-y)2-3(x-y)+8y=0 2 2 2 5. Find the pedal equation of the curve x + y = a 3 6. Apply the method of differentiation under integral sign to evaluate log(1+ax) dx 1+bx If Y = Sin(m sinx), then show that (1-x)yn+2 - (2n+1)xy n+1 + (m-n)y = 0 2. Apply Maclaurin's series to find the expansion of lim Tan 2a ==(2-4)** 3. Evaluate: xa 2- ex as far as the term in x 1+e* 4. Find the asymptotes of the curve x(x-y)2-3(x-y)+8y=0 2 2 2 5. Find the pedal equation of the curve x + y = a 3 6. Apply the method of differentiation under integral sign to evaluate log(1+ax) dx 1+bx