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BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-SOLVED EXAMPLES (Short Answer Type Questions)(Section X)
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- If y = Ae^(mx) + Be^(nx), Show that (d^2 /dx^2 y)-(m+n)dy/dx+mny = 0
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- If y = 3 cos (log x) + 4 sin (log x) show that x^2 y2 + xy1 + y = 0
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- If y=[tan^-1 x]^2, then prove that : (x^2 + 1)^2 y2+2x(x^2+1) y1 = 2.
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- If y = (sin^-1 x)^2, then prove that (1 -x)^2 (d^2y)/(dx^2) -x dy/dz =...
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- If y= (cos^-1 x)^2, prove that: (1 - x^2 ) ((d^2y)/dx^2) - x(dy/dx) -2...
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- If y=log (x+ sqrt ( x^2+1)), prove that: (x^2+1) d^2y/dx^2 + xdy/dx=0.
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- If y= sin (2 sin^-1 x), prove that: (1 - x^2 ) (d^2y/dx^2) - x(dy/dx) ...
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- If y = e^(acos^-1x), -1lexle1, show that (1-x^2)(d^2y)/dx^2 - x(dy/dx)...
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