List of top Mathematics Questions on Differential equations asked in TS EAMCET

The general solution of the differential equation dydx=2y2+12y3−4xy+y. \frac{dy}{dx} = \frac{2y^2 + 1}{2y^3 - 4xy + y}.  
If x=cos⁡2t+log⁡(tan⁡t) x = \cos 2t + \log (\tan t) and y=2t+cot⁡2t y = 2t + \cot 2t , then dydx \frac{dy}{dx} is:
If y=44x45+45x44 y = 44x^{45} + 45x^{44} , then y′′ y'' is:
The general solution of the differential equation (9x−3y+5)dy=(3x−y+1)dx. (9x - 3y + 5) dy = (3x - y + 1) dx.
If y=tan⁡xcos⁡−1x1−x2 y = \frac{\tan x \cos^{-1}x}{\sqrt{1 - x^2}} , then the value of dydx \frac{dy}{dx} when x=0 x = 0 is:
If y(cos⁡x)sin⁡x=(sin⁡x)sin⁡x y (\cos x)^{\sin x} = (\sin x)^{\sin x} , then the value of dydx \frac{dy}{dx} at x=π4 x = \frac{\pi}{4} is:
If log⁡y=ylog⁡x \log y = y^{\log x} , then dydx \frac{dy}{dx} is:
If y=acos⁡3x+be−x y = a \cos 3x + b e^{-x} , then y′(3sin⁡3x−cos⁡3x)= y'(3\sin 3x - \cos 3x) = :
If A and B are arbitrary constants, then the differential equation having y=Ae−x+Bcos⁡x y = Ae^{-x} + B \cos x as its general solution is:
The general solution of the differential equation dydx+sin⁡(2x+y)cos⁡x+2=0 \frac{dy}{dx} + \frac{\sin(2x + y)}{\cos x} + 2 = 0 is:
The approximate value of 7303 \sqrt[3]{730} obtained by the application of derivatives is:

If ∫ x49Tan−1(x50)(1+x100)\frac{x^{49} Tan^{-1} (x^{50})}{(1+x^{100})}dx = k(Tan-1 (x50))2 + c, then k =

If ∫(log x)3 x5 dx = x6A\frac{x^6}{A} [B(log x)3 + C(logx)2 + D(log x) - 1] + k and A,B,C,D are integers, then A - (B+C+D) = 

∫dx(x2+1)(x2+4)=∫\frac{dx}{(x2+1) (x2+4)} =

∫dx(x−1)34(x+2)54=∫\frac{dx}{(x-1)^{34} (x+2)^{\frac54}}=

If order and degree of the differential equation corresponding to the family of curves y2 = 4a(x+a)(a is parameter) are m and n respectively, then m+n2 =

If the solution of the differential equation dydx=2x+3y3x−2y\frac{dy}{dx}=\frac{2x+3y}{3x-2y} is y = xtan(f(x)) + c then f(x) =

The general solution of the differential equation (x2 + 2)dy +2xydx = ex(x2+2)dx is

If l,m,n and a,b,c are direction cosines of two lines then

On differentiation if we get f (x,y)dy - g(x,y)dx = 0 from 2x2-3xy+y2+x+2y-8 = 0 then g(2,2)/f(1,1) =