List of top Questions asked in CBSE CLASS XII

In our society the women are often blamed for giving birth to daughters. Can you explain why this is not correct?.
Find an anti derivative (or integral) of the following functions by the method of inspection: sin2x - 4e3x

For each of the differential equations given below, indicates its order and degree (if defined).

\((i) \frac {d^2y}{dx^2}+5x(\frac {dy}{dx})^2-6y=log\ x\)

\((ii)(\frac {dy}{dx})^3-4(\frac{dy}{dx})^2+7y=sin\ x\)

\((iii) \frac {d^4y}{dx^4}-sin(\frac {d^3y}{dx^3})=0\)

Find a particular solution satisfying the given condition:\(\frac {dy}{dx}-3y\  cot\ x=sin2x;\ y=2 \ when\  x=\frac \pi2\)
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: \(sec^2x tan\ y \ dx+sex^2y tan\  x \ dy = 0\)