18-Differential Equations

Differential Equations

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Solution of differential equation.........?
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RJVLKHN
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How to prepare for Differential Equations for JEE Mains
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abijith
Let $\mathrm{f}:(0, \infty) \rightarrow \mathbf{R}$ be a function which is differentiable at all points of its domain and satisfies the condition
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rahulp
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deveshgarg2008
Differential Equations: The solution of $x d x+y d y=a\left(x^2+y^2\right) d y$ is ?
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rahulp
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AGRIMA M
A particular solution of the differential equation $(x+1) \frac{d y}{d x}=2 e^{-y}+1$ given that $y=0$ and $x=0$
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rahulp
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L
Solution of differential equation, $\frac{d t}{d x}=\frac{t\left(\frac{d}{d x}(g(x))\right)-t^2}{g(x)}$ is?
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Math.LiveDoubtClearing
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P
Let \( \frac{d y}{d x}=\frac{a x-b y+a}{b x+c y+a} \) where \( \mathrm{a}, \mathrm{b}, \mathrm{c} \) are constants, represent a circle passing through
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Math.LiveDoubtClearing
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S
The solution to the differential equation $\frac{d y}{d x}=\frac{x y\left(1-x y-x y^2 \cos x\right)}{2 x^3 y+3 x^2 y^2 \sin x+1} $ is
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Math.LiveDoubtClearing
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S
Let $Y=Y(X)$ be a curve lying in the first quadrant such that the area enclosed by the line $Y-y=Y^{\prime}(x)(X-x)$ and the co-ordinate axes, where
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deveshgarg2008
$\frac{d y}{d x}=\frac{y+x+2}{y-x+1}$
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Sakshi
The slope of tangent at any point $(x, y)$ on a curve $y=y(x)$ is $\frac{x^2+y^2}{2 x y}, x>0$. If $y(2)=0$, then a value of $y(8)$ is
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Math.LiveDoubtClearing
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S
Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}=\frac{4 y^3+2 y x^2}{3 x y^2+x^3}, y(1)=1$.
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Angel
The $x$-intercept of the tangent to a curve is equal to the ordinate of the point of contact. The equation of the curve through the point $(1,1)$ is
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Math.LiveDoubtClearing
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M
The differential equation representing the family of curves \( y^{2}=2 c(x+\sqrt{c}) \), where \( c \) is a positive parameter is of
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Math.LiveDoubtClearing
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M
Solve the differential equation : \( x \frac{d y}{d x}=y-x \).
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Math.LiveDoubtClearing
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deveshgarg2008
Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}=(y+1)\left((y+1) e^{\frac{x^2}{2}}-x\right), 0<x<2.1$, with $y(2)=0$.
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244
Math.LiveDoubtClearing
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R
Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}=1+x e^{y-x},-\sqrt{2}<x<\sqrt{2}, y(0)=0$, then the minimum value of
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A
Let $x=x(t)$ and $y=y(t)$ be solutions of the differential equations $\frac{d x}{d t}+a x=0$ and $\frac{d y}{d t}+b y=0$ respectively, $a, b \in R$.
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LiveDoubtClearing
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P
If $y \cdot \frac{d y}{d x}=x\left[\frac{y^2}{x^2}+\frac{b\left(y^2 x^2\right)}{\phi\left(y^2 \mid x^2\right)}\right], x>0 \cdot \phi>0$ and $y(u)=t$
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Priyanshu Keshari
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Let $y=y(x)$ be the solution of the differential equation $\left(3 y^2-5 x^2\right) y d x+2 x\left(x^2-y^2\right) d y=0$ such that $y(1)=1$. Then
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LiveDoubtClearing3
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