Class 12

Math

Calculus

Differential Equations

Solve $dxg(dy) =4x−2y−2$ , given that $y=1$ when $x=1.$

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A curve is such that the portion of the x-axis cut off between the origin and the tangent at a point is twice the abscissa and which passes through the point (1, 2). The equation of the curve is

If y=e4x+2e−x satisfies the relation d3ydx3+Adydx+By=0, then values of A and B respectively are:

Solution of the differential equationx=1+xydydx+x2y22!(dydx)2+x3y33!(dydx)3+............

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

Find the differential equation of all non-vertical lines in a plane.

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

Find the order and degree (if defined) of the equation: $dx_{2}d_{2}y ={1+(dxdy )_{4}}_{35}$

Solve $[2xy −x]dy+ydx=0$