### Eamcet - Maths - Differential Equations Test

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If [x3/(2x-1)(x+2)(x-3)]=A+(B/[2x-1])+(C/[x+2])+(D/[x-3]) then A is equal to

The solution of x log x (dy/dx)+y=2 log x is

The solution of excot y dx+(1-ex)cosec2ydy=0 is

Solution of differential equation dy/dx = (1+y2) (1+x2)-1is

The solution of (x+y+1) dy/dx=1 is

If a,b,c ≠ 0 and belong to the set { 0,1,2,3,................9 then log10[(a+10b+102c)/(10-4a+10-3b+10-2c)] is equal to

The radius of the circle r2-2√2r(cos θ + sin θ)-5=0 is

A family of curves has the differential equation (xy)dy/dx = 2y2 - x2. Then the family of curves is

The solution of y2 dx+(3xy-1)dy=0 is

The solution of extan y dx+(1-ex)sec2ydy=0 is

The solution of (x2y3+x2)+(y2x3+y2)dy=0 is

If y=(x2-1)n, then (x2-1)yn+2+2xyn+1=

The solution ofn(ex+1)y dy+(y+1)dx=0 is

The line 4x + 6y + 9=0, touches the parabola y2=4x at the point

The solution of (12x+5y-9)dx+(5x+2y-4)dy=0 is

The solution of (1+ex/y)dx+ex/y(1-x/y)dy=0 is

The solution of 3excos2ydx+(1-ex)cot y dy=0 is

If A and B are two square matrices such that B=A-1 BA, then (A+B)2 is equal to

The solution of (x+y+1)dx+(3x+4y+4)dy=0 is

The solution of x cos(y/x)(y dx+x dy)=y sin y/x(x dy – y dx) is

A= sin 780- sin 180+ cos 1320, B= cos 120+ cos 840+ cos 1320+ cos 1560 and C= (sin 750+sin 150)/ (sin 750+cos 150) then by arranging in the ascending order

x2+y2=t+(1/t),x4+y4=t2+(1/t2)⇒x3y(dy/dx)=

The solution of ex-y dx+ey-x dy=0 is

If the equation λx2 – 5xy + 6y2 + x -3y=0, represents a pair of straight lines, then their point of intersection is

If x is real, then the minimum value of [(x2-x+1)/(x2+x+1)], is

The solution of y dx-x dy+log x dx=0 is

x = cos θ, y = sin 5θ  ==>(1-x2) (d2y/dx2)  - x(dy/dx) =

The curve represented by X= 2( cos t + sin t ), y=( cos t - sin t ) is

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