अवकलन समीकरण (x2 +1)dy = xy का हल है। .. (a) y = log(x2 +1)+c (b) y = chNx2 +1+c (c) y = log(x2 +1)+x+c (d) इनमें से कोई नहीं Scanned by CamScanner

If y =a cos (log x) + b sin (log x) then x ^(2) y _(2) + xy _(1)+y=

If sin(x+y)=log(x+y) , then (dy)/(dx)= (a) 2 (b) -2 (c) 1 (d) -1

The solution of the differential equation log x (dy)/(dx) + (y)/(x) = sin 2x is a) y log | x | = C - (1)/(2) cos x b) y log |x| = C + (1)/(2) cos 2x c) y log | x| = C - (1)/(2) cos 2x d) xy log | x | = C - (1)/(2) cos 2x

int x^x (1+ log x) dx =............. A) (1/2) (1+log x)^2 +c B) x^(x) + c C) x^x log x + c D) x^2 + c

If y is a function of x and log(x+y) = 2xy , then the value of y'(0) = ..... (A) 2 (B) 0 (C) -1 (D) 1

If log x+log y=log(x+y), then a.x=ybxy=1 c.y=(x-1)/(x) d.y=(x)/(x-1)

If xy log(x + y) = 1 , then prove that (dy)/(dx) = -(y(x^(2)y + x + y))/(x(xy^(2) + x + y)) .

YSolution of diffential equationL=Ydx x(A) xy ln(c/x) = 1(B) (x + y) enc/x = 1(C) (x + y2) ln(c/x) = 1 (D) xºy en c/x = 1

If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y) is 1 (b) (log)_2 3- (log)_3 2 (c) log(3/2) (d) none of these