Day 280: MHT-CET Maths

1. A.
   $\dfrac{d^2y}{dx^2} + x\dfrac{dy}{dx} = 0$
2. B.
   $x\dfrac{d^2y}{dx^2} - \dfrac{dy}{dx} = 0$
3. C.
   $\dfrac{d^2y}{dx^2} - x\dfrac{dy}{dx} = 0$
4. D.
   $x\dfrac{d^2y}{dx^2} + \dfrac{dy}{dx} = 0$

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1. A.
   True, True
2. B.
   True, False
3. C.
   False, True
4. D.
   False, False

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1. A.
   $\dfrac{(3n+1)\pi}{p-q}$
2. B.
   $\dfrac{(2n+1)\pi}{p \pm q}$
3. C.
   $\dfrac{(n \pm 1)\pi}{p \pm q}$
4. D.
   $\dfrac{(n+2)\pi}{p+q}$

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1. A.
   $\frac{1}{1 + K^{\cos^{- 1}x}}$
2. B.
   $\frac{- 1}{1 + K^{\cos^{- 1}x}}$
3. C.
   $\frac{1}{\left( 1 + K^{\cos^{- 1}x} \right)^{2}}$
4. D.
   $\frac{- 1}{\left( 1 + K^{\cos^{- 1}x} \right)^{2}}$

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1. A.
   $\sqrt[2]{2-\frac{2}{x^{2}}+\frac{1}{x^{4}}}+c$
2. B.
   $\frac{1}{2}\sqrt{2-\frac{2}{x^{2}}+\frac{1}{x^{4}}}+c$
3. C.
   $\sqrt[2]{2+\frac{2}{x^{2}}+\frac{1}{x^{4}}}+c$
4. D.
   $\sqrt[2]{2-\frac{2}{x^{2}}-\frac{1}{x^{4}}}+c$

Tap an option to check your answer.