30-Differential Calculus

Differential Calculus

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Solve the following differential equation : $(𝐷^2 − 4𝐷 + 4)𝑦 = 𝑥^2𝑒^3𝑥 + sin^2 𝑥$
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rahulp
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Find the minimum values of $x+y+z$ given that $a/x+b/y+c/z = 1$
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773
solution.livedoubt
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Find the particular integral of the given equation
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715
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$z = x^2 + y^2,$ show that ($dz/dx - dz/dy )^2 = 4 ( 1 - dz / dx - dz/dy)$
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799
solution.livedoubt
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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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256
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Solve the differential equation\[ \frac{dy}{dx} + \frac{x}{1+x^2} y = \frac{x}{1+x^2} \]
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239
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Solve the differenial equation $ \frac{d y}{d x}+\frac{x}{1+x^2} y=\frac{x}{1+x^2} $
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201
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Mayan
If $\mathrm{f}: \mathrm{R}^{+} \rightarrow \mathrm{R}$ be a differentiable function satisfying
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368
Math.LiveDoubtClearing
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Let $y=y(x)$ be the solution of the differential equation $\left(1+x^2\right) \frac{d y}{d x}+y=e^{\tan ^{-1} x}, y(1)=0$ . Then $y(0)$ is
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352
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Suppose the solution of the differential equation $\frac{d y}{d x}=\frac{(2+\alpha) x-\beta y+2}{\beta x-2 \alpha y-(\beta \gamma-4 \alpha)}$
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368
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The differential equation of the family of circles passing through the origin and having centre at the line $y=x$ is :
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963
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Let $f:[2,4] \rightarrow \mathbb{R}$ be a differentiable function such that
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488
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Let $y=y(x)$ be a solution of the differential equation $(x \cos x) d y+(x y \sin x+y \cos x-1) d x=0,0<x<\frac{\pi}{2}$.
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266
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Find the particular solution of the equation: $e^xdy/dx=4$ given that $y=3$ when $x=0$?
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kvishal9956
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