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Recent questions tagged p184

If $ y = 500e^{\large 7x} + 600e^{\large -7x}$, what is $\large\frac{d^2y}{dx^2}$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

If $ y = 3 \cos \: (\log x ) + 4 \sin ( \log x )$, show that $x^2y_2 + xy_1 $

asked Apr 10, 2014 by balaji.thirumalai

1 answer

If \( y = ( tan^{-1}x )^2\), show that \( (x^2 + 1 )^2 \: y_2 + 2x (x^2 +1 ) \: y_1 = 2 \)

asked Nov 20, 2012 by thanvigandhi_1

1 answer

If \( e^y ( x + 1 ) = 1\), show that \( \large\frac{d^2y}{dx^2} = \left(\frac{dy}{dx}\right)^2\)

asked Nov 20, 2012 by thanvigandhi_1

1 answer

If \( y = 500e^{\large 7x} + 600e^{\large -7x}\), show that \( \large\frac{d^2y}{dx^2}\normalsize = 49y\)

asked Nov 20, 2012 by thanvigandhi_1

1 answer

If \( y = Ae^{mx} + Be^{nx}\), show that \( \large\frac{d^2y}{dx^2} -\normalsize ( m + n ) \large\frac{dy}{dx} +\normalsize mny = 0 \)

asked Nov 20, 2012 by thanvigandhi_1

1 answer

If \( y = 3 \cos \: (\log x ) + 4 \sin ( \log x )\), show that \(x^2y_2 + xy_1 + y = 0\)

asked Nov 20, 2012 by thanvigandhi_1

1 answer

If \( y =\cos^{-1}x \) , find \( \large\frac{d^2y}{dx^2}\) in terms of \( y \) alone.

asked Nov 20, 2012 by thanvigandhi_1

1 answer

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