The equation of the curve satisfying the differential equation d^ 2 y d x^ 2 (x^ 2 +1 )=2…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
The equation of the curve satisfying the differential equation \(\frac{d^{2} y}{d x^{2}}\left(x^{2}+1\right)=2 x \frac{d y}{d x}\) passing through the point (0, 1) and having slope of tangent at x = 0 as 3 is
- y = x2 + 3x + 2
- y2 = x2 + 3x + 1
- y = x3 + 3x + 1
- None of these
Answer
(C) y = x 3 + 3x + 1
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Explanation:tion of differential equation (x 2 + y 2 + a 2 ) y dy dx + x (x 2 + y 2 – a 2 ) = 0 is
- The equation of the curve satisfying the equation x(1-x y) d y d x +y=0 and passing through (1, 1 e ) is
- Let f : (0, ∞) → R be a differentiable function such that f^ (x)=2- f(x) x for all x ∈ (0, ∞) and f (1) ≠ 1…
- A curve y = f (x) passing through the point (1, 1 e ) satisfies the differential equation dy dx + x e^ - x^ 2…
- Explanation:tion of the differential equation y 2 (ydx + 2xdy) – x 2 (2ydx + xdy) = 0 is
- The differential equation representing the family of curves y^ 2 =2 c(x+ c ) , where c is a positive…
- The function y = f ( x ) is the solution of the differential equation d y d x + x y x^ 2 -1 = x^ 4 +2 x 1-x^…
- A solution curve of the differential equation (x^ 2 +x y+4 x+2 y+4 ) d y d x -y^ 2 =0, x>0 passes through the…
More Differential Equations questions · Browse all practice questions