Category: Differential Equation

Question Number 105361 by bemath last updated on 28/Jul/20 $$solvebyFrobeniusmethod$$$$x^2{y}^{″}-x(2x-1)y^{\prime }+(x+1)y=0$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 105283 by bemath last updated on 27/Jul/20 $$\left(1\right)\frac{dy}{dx}=\frac{2xy}{4x^2-y^3}$$$$\left(2\right)\frac{dy}{dx}=\frac{\sin x+\cos x}{y(2\ln y+1)}$$ Answered by bobhans last updated on 27/Jul/20 $$\left(\mathrm{2}\right)\:{y}\left(\mathrm{2ln}\:{y}+\mathrm{1}\right)\:{dy}\:=\:\left(\mathrm{sin}\:{x}+\mathrm{cos}\:{x}\right)\:{dx} \…

Question Number 105257 by bemath last updated on 27/Jul/20 $$y^{″}-2y^{\prime }+y={xe}^x\sin x$$ Answered by john santu last updated on 27/Jul/20 $$homogenoussolution$$$$\lambda^{\mathrm{2}} −\mathrm{2}\lambda+\mathrm{1}\:=\:\mathrm{0}\:\Rightarrow\lambda\:=\:\mathrm{1};\mathrm{1}…

Question Number 105163 by bemath last updated on 26/Jul/20 $$x^2{y}^{″}+{xy}^{\prime }-y=\frac{1}{1+x^2}$$ Answered by bramlex last updated on 27/Jul/20 $$wesolvehomogenousequation$$$${This}\:{is}\:{an}\:{Euler}−{Cauchy}\: \…

Question Number 104893 by bramlex last updated on 24/Jul/20 $$\frac{d^{2}y}{{dx}^2}+\tan x\frac{dy}{dx}=\sec x+\cot x$$ Answered by mathmax by abdo last updated on 24/Jul/20 $$\mathrm{y}^{''} \:+\mathrm{tanx}\:\mathrm{y}^{'}…