Class 12

Math

Calculus

Differential Equations

Solve the equation $dxdy +(1−x_{2})xy =xy $

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Solve $dxdy =2x+y−1x−2y+5 $

The function $y=f(x)$ is the solution of the differential equation $dxdy +x_{2}−1xy =1−x_{2} x_{4}+2x $ in $(−1,1)$ satisfying $f(0)=0.$ Then $∫_{23}f(x)dx$ is

Find the orthogonal trajectories of $xy=⋅$

Find the order and degree of the following differential equation: $e_{dxdy}−xdx_{2}d_{2}y +y=0$

What is the solution of satisfying?

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The normal to a curve at $P(x,y)$ meet the x-axis at $G˙$ If the distance of $G$ from the origin is twice the abscissa of $P$ , then the curve is a (a) parabola (b) circle (c) hyperbola (d) ellipse