New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Differential Equations question

2021 · 26 Feb · Shift 1 · Q41

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Differential Equations
2021 · 26 Feb · Shift 1 · Q41

Differential Equations question

2021 · 26 Feb · Shift 1 · Q41

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

The difference between degree and order of a differential equation that represents the family of curves given by

{y^2} = a\left( {x + {{\sqrt a } \over 2}} \right)

, a > 0 is

\underline{\hspace{2cm}}

.

Numerical answer

More from Differential Equations

If y = y(x) is the solution of the equation $e^{s i n y} cos y \frac{d y}{d x} + e^{s i n y} cos x = cos x$ , y(0) = 0; then $1 + y (\frac{π}{6}) + \frac{3}{2} y (\frac{π}{3}) + \frac{1}{2} y (\frac{π}{4})$ …2021 · Numerical
Let y = y(x) be the solution of the differential equation $\frac{d y}{d x} = 2 (y + 2 sin x - 5) x - 2 cos x$ such that y(0) = 7. Then y( $π$ ) is equal to :2021 · MCQ
Let us consider a curve, y = f(x) passing through the point ( $-$ 2, 2) and the slope of the tangent to the curve at any point (x, f(x)) is given by f(x) + xf'(x) = x2. Then :2021 · MCQ
If the solution curve of the differential equation (2x $-$ 10y3)dy + ydx = 0, passes through the points (0, 1) and (2, $β$ ), then $β$ is a root of the equation :2021 · MCQ
Let y = y(x) be solution of the differential equation $lo g (\frac{d y}{d x}) = 3 x + 4 y$ , with y(0) = 0. If $y (- \frac{2}{3} lo g_{e} 2) = α lo g_{e} 2$ , then the value of $α$ is equal…2021 · MCQ
If $y = y (x), y \in [0, \frac{π}{2})$ is the solution of the differential equation $sec y \frac{d y}{d x} - sin (x + y) - sin (x - y) = 0$ , with y(0) = 0, then $5 y^{'} (\frac{π}{2})$ is equal to …2021 · Numerical
Let y = y(x) be the solution of the differential equation (x $-$ x3)dy = (y + yx2 $-$ 3x4)dx, x > 2. If y(3) = 3, then y(4) is equal to :2021 · MCQ
Let y = y(x) be the solution of the differential equation dy = e $α$ x + y dx; $α \in$ N. If y(loge2) = loge2 and y(0) = loge $(\frac{1}{2})$ , then the value of $α$ is equal to .2021 · Numerical