Class 12

Math

Calculus

Differential Equations

Solve the following differential equation : $(x_{2}−1)dxdy +2x y=(x_{2}−1)2 $

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

Show that the given differential equation is homogeneous and solve it.$ydx+xg(xy )dy−2xdy=0$

Find a particular solution of the differential equation $(x+1)dxdy =2e_{−y}−1$given that $y=0$when$x=0$.

The Integrating Factor of the differential equation $xdxdy −y=2x_{2}$is(A) $e_{−x}$ (B) $e_{−y}$ (C) $x1 $ (D) x

Find the general solution of the differential equations: $cos_{2}x(dxdy )+y=tanx$ , $(0≤x≤2π )$

The general solution of the differential equation $e_{x}dy+(ye_{x}+2x)dx=0$is(A) $xe_{y}+x_{2}=C$ (B) $xe_{y}+y_{2}=C$ (C) $ye_{x}+x_{2}=C$ (D) $ye_{y}+x_{2}=C$

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: $y=xsinx$ : $xyprime=y+xx_{2}−y_{2} (x=0$and$x>yorx<y$)

At any point (x, y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point $(4,3)$. Find the equation of the curve given that it passes through $(2,1)$.

Show that the general solution of the differential equation $dxdy +x_{2}+x+1y_{2}+y+1 =0$ is given by $(x+y+1)=A(1−x−y−2xy)$ where A is a parameter