If y=2sinx+3cosx , show that (d^2y)/(dx^...

If `y=2sinx+3cosx` , show that `(d^2y)/(dx^2)+y=0` .

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Find (d^2y)/(dx^2) if x=a costheta,y=bsintheta.
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If x=asec theta, y=b tan theta, then prove that (d^(2)y)/(dx^(2))=-(b^...
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If 2y=x(1+(dy)/(dx)), then show that y(2) is a constant.
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If x=cos theta and y=sin 5 theta, then prove that (1-x^(2))(d^(2)y)/(d...
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If y = e^(m cos^(-1) x) (1-x^2)y2-xy1 = m^2y
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If y=Ae^(mx)+Be^(nx) then show that (d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+m...
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If y=2sinx+3cosx , show that (d^2y)/(dx^2)+y=0 .
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