List of top Questions asked in CBSE CLASS XII

For the differential equations, find the particular solution satisfying the given condition:\(2xy+y^2-2x^2\frac{dy}{dx}=0;y=2\) when \(x=1\)

For the differential equations, find the particular solution satisfying the given condition:\(\frac{dy}{dx}-\frac{y}{x}+cosec(\frac{y}{x})=0;y=0\) when \(x=1\)

For the differential equations, find the particular solution satisfying the given condition:\([xsin^2(\frac{x}{y})-y]dx+xdy=0;y=\frac{π}{4},\)when \(x=1\)

For the differential equations, find the particular solution satisfying the given condition:\(x^2dy+(xy+y^2)dx=0;y=1\) when \(x=1\)

For the differential equations, find the particular solution satisfying the given condition:\((x+y)dy+(x-y)dy=0;y=1\) when \(x=1\)

Show that the given differential equation is homogeneous and solve:\((1+e^{\frac{x}{y}})dx+e^{\frac{x}{y}}(1-\frac{x}{y})dy=0\)

Show that the given differential equation is homogeneous and solve:\(y\,dx+xlog(\frac{y}{x})dy-2x\,dy=0\)

Show that the given differential equation is homogeneous and solve:\(x\frac{dy}{dx}-y+sinx(\frac{y}{x})=0\)

Show that the given differential equation is homogeneous and solve:\({xcos(\frac{y}{x})+ysin(\frac{y}{x})}y\,dx={ysin(\frac{y}{x})-xcos(\frac{y}{x})}x\,dy\)

Show that the given differential equation is homogeneous and solve:\(x\,dy-y\,dx=\sqrt{x^2+y^2}\,dx.\)

Show that the given differential equation is homogeneous and solve:\(x^2\frac{dy}{dx}=x^2-2y^2+xy\)

Show that the given differential equation is homogeneous and solve:\((x^2-y^2)dx+2xy\,dy=0\)

Show that the given differential equation is homogeneous and solve:\((x-y)dy-(x+y)dx=0\)

Show that the given differential equation is homogeneous and solve:\(y'=\frac{x+y}{x}\)

For the differential equations, find a particular solution satisfying the given condition:\(\frac{dy}{dx}=y tan\,\,x;y=1\) when x=0

For the differential equations, find a particular solution satisfying the given condition:\(x(x^2-1)\frac{dy}{dx}=1;y=0\) when x=2

For the differential equations , find the general solution:\(e^x tany\,\, dx+(1-e^x)sec^2y\,\,\, dy=0\)

For the differential equations , find the general solution:\(\frac{dy}{dx}=sin^{-1}x\)

For the differential equations, find the general solution:\(y\ log\ y \ dx-x\  dy=0\)

For the differential equations , find the general solution:\((e^x+e^{-x})dy-(e^x-e^{-x})dx=0\)

For the differential equations , find the general solution: \(sec^2x tan\ y \ dx+sex^2y tan\  x \ dy = 0\)

For the differential equations , find the general solution:\(\frac {dy}{dx} =\sqrt {4-y^2}, \ \ \ (-2<y<2)\)

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b:\(y=e^x(a\cos x+b\sin x)\)

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b: \(\frac{x}{a}+\frac{y}{b}=1\)

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b:y²= a(b²-x²)