class 12

Math

Calculus

Differential Equations

If $dxdy =y+3>0andy(0)=2,theny(ln2)$is equal to :

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Find the particular solution of the differential equation $g(dxdy )=3x+4y$ given that $y=0$ when $x=0$.

Show that the given differential equation is homogeneous and solve each of them.$x_{2}dxdy =x_{2}−2y_{2}+xy$

Find the general solution of the differential equations $(e_{x}+e_{−x})dy−(e_{x}−e_{−x})dx=0$

Find the general solution of the differential equations y log y dx – x dy = 0

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:$y=e_{x}+1:yprimeprime−yprime=0$

The number of arbitrary constants in the general solution of a differential equationof fourth order are:(A) 0 (B) 2 (C) 3 (D) 4

Show that the differential equation $(x−y)dxdy =x+2y$is homogeneous and solve it.

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.$y=e_{2x}(a+bx)$