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Monday, January 7, 2019

Linear Differential equations- Questions

$\frac{\mathrm{dy} }{\mathrm{d} x}+\frac{3y}{x}=6x^{2}$
$\frac{\mathrm{dy} }{\mathrm{d} x}+3y=3x^{2}e^{-3x}$
$\frac{\mathrm{dx} }{\mathrm{d} t}+\frac{x}{t^{2}}=\frac{1}{t^{2}}$
$x\frac{\mathrm{dy} }{\mathrm{d} x}+\frac{2x+1}{x+1}y=x-1$
$x^{4}\frac{\mathrm{dy} }{\mathrm{d} x}+2x^{3}y=1$
$\frac{\mathrm{dy} }{\mathrm{d} x}+4xy=8x$
$u^{2}+1 \frac{\mathrm{dv} }{\mathrm{d} u}+4uv=3u$
$\frac{\mathrm{dy} }{\mathrm{dx} }-\frac{y}{x}=\frac{-y}{x^{2}}$
$x\frac{\mathrm{dy} }{\mathrm{dx} }+y=-2x^{6}y^{4}$

$x(x-1)\frac{dy}{dx}-(x-2)y=x^{3}(2x-1)$

$cos^{3}x\frac{dy}{dx}+ycos\:x=sin\:x$
$\frac{dy}{dx}=\frac{sin^{2}x}{1+x^{3}}-\frac{3x^{2}}{1+x^{3}}$

$(2x-10y^{3})\frac{dy}{dx}+y=0$

$y\:dx-x\:dy+log\:x\:dx=0$

Bernoullis equation-practice set 1-https://ellipticalkoyal.blogspot.com/2019/01/bernoullis-equations-practice-set-1.html

Exact DE-practice set-http://ellipticalkoyal.blogspot.com/2019/01/questions-on-exact-differential.html

Posted by Kuckoo at 10:59 PM

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