Class 12

Math

Calculus

Differential Equations

Show that the differential equation $y_{3}dy+(x+y_{2})dx=0$ can be reduced to a homogeneous equation.

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Solve the differential equation $xydxdy =1+x_{2}1+y_{2} (1+x+x_{2})$

Solution of the differential equationdxdy−xlogx1+logx=ey1+logx′ if y(1)=0, is

Orthogonal trajectories of family of the curve $x_{32}+y_{32}=a_{(32)}$ , where $a$ is any arbitrary constant, is

Differential equation of the family of circles touching the line $y=2$ at $(0,2)$ is

What is the solution of satisfying?

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What is the differential equation fory2=4a(x−a)?

Solve $dxdy =x+2y−32x−y+1 $