The solution of Differential equation d y d x = x+2 y-3 2 x+y-3 is
Mathematics · JEE Main · NTA Exams — Differential Equations
The solution of Differential equation \(\frac{d y}{d x}=\frac{x+2 y-3}{2 x+y-3}\) is

- \[\frac{\left(1+\frac{y-1}{x-1}\right)^{1 / 2}}{\left(1-\frac{y-1}{x-1}\right)^{3 / 2}}=C\]
- \[\frac{\left(1+\frac{y-1}{x-1}\right)^{1 / 2}}{(x-1)\left(1-\frac{y-1}{x-1}\right)^{3 / 2}}=C\]
- none of these
Answer
(D) none of these
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let a solution y=y(x) of the differential equation x x^ 2 -1 d y-y y^ 2 -1 d x=0 satisfy y(2)= 2 3 …
- The solution of the differential equation (x x) d y d x +y=2 x , is
- The curve passing through the point (0, 1) and satisfying the equation sin ( dy dx ) = a is :
- The curve in which the portion of the tangent included between the coordinate axes is bisected at the point…
- Solution of the differential equation x d y=y( x-y) d x (0 , is
- The solution of the differential equation 1+x^ 2 +y^ 2 +x^ 2 y^ 2 +x y d y d x =0 is,
- If φ (x) is a differentiable function, then the solution of the differential equation d y+ y ^ (x)- (x) ^ (x)…
- The solution of the differential equation y_ 1 +3 x y=x which passes through (0,4) is,
More Differential Equations questions · Browse all practice questions