Day 339: MHT-CET Maths

1. A.
   $x = (c + y^2)y$, where c is the constant of integration
2. B.
   $y = (c + y^2)x$, where c is the constant of integration
3. C.
   $x = (c + y)y$, where c is the constant of integration
4. D.
   $y = (c + x^2)$, where c is the constant of integration

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1. A.
   $b$
2. B.
   $b\sqrt{2}$
3. C.
   $2b$
4. D.
   $\sqrt{3}b$

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1. A.
   $\begin{pmatrix}-\frac{1}{2} & 0\\-\frac{3}{2} & \frac{1}{2}\end{pmatrix}$
2. B.
   $\begin{pmatrix}\frac{1}{2} & 0\\\frac{3}{2} & -\frac{1}{2}\end{pmatrix}$
3. C.
   $\begin{pmatrix}\frac{1}{2} & 0\\-\frac{3}{2} & \frac{1}{2}\end{pmatrix}$
4. D.
   $\begin{pmatrix}\frac{1}{2} & 0\\\frac{3}{2} & \frac{1}{2}\end{pmatrix}$

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1. A.
   $(p\wedge\sim q)\wedge(\sim p\vee q)$
2. B.
   $(p\wedge\sim q)\wedge(\sim p\wedge q)$
3. C.
   $(p\vee\sim q)\wedge(\sim p\vee q)$
4. D.
   $(p\vee\sim q)\vee(\sim p\vee q)$

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1. A.
   $y=\sin(x+y)+c$
2. B.
   $y=\tan(x+y)+c$
3. C.
   $y=\tan\frac{x+y}{2}+c$
4. D.
   $y=\frac{1}{2}\tan(x+y)+c$

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