Category: Differential Equation

Question Number 1743 by 123456 last updated on 12/Sep/15 $$u^{\prime }(v-v^{\prime })+{uv}^{\prime }=0$$$$u=?$$ Commented by Rasheed Ahmad last updated on 13/Sep/15 $$u^{\prime }(v-v^{\prime })+{uv}^{\prime }=0$$$${u}'{v}+{uv}'−{u}'{v}'=\mathrm{0}…

Question Number 1597 by Rasheed Ahmad last updated on 25/Aug/15 $$\int \frac{f\left(x\right)}{f{}^{\prime }\left(x\right)}dx=lnsecx+c$$$$f\left(x\right)=?$$ Answered by 123456 last updated on 25/Aug/15 $$\int \frac{y}{dy/dx}dx=\ln \sec x+c$$$$\frac{{d}}{{dx}}\left[\int\frac{{y}}{{dy}/{dx}}{dx}\right]=\frac{{d}}{{dx}}\left[\mathrm{ln}\:\mathrm{sec}\:{x}+{c}\right]…

Question Number 1575 by 112358 last updated on 21/Aug/15 $$SolvethefollowingD.E.$$$${\left(\frac{dy}{dx}\right)}^2+2y+2=0$$$$Does{\left(\frac{d^{2}y}{{dx}^2}\right)}^2+2y+2=0have$$$$anysolutionsotherthan$$$$y=-1?$$ Commented…

Question Number 132432 by Chhing last updated on 14/Feb/21 $$$$$$\mathrm{Solve}\mathrm{differential}\mathrm{equations}$$$$1/({\mathrm{x}}^3-1){\mathrm{y}}^{\prime }+\mathrm{xy}=\mathrm{x}$$$$2/({\mathrm{x}}^2-1){\mathrm{y}}^{\prime }-\mathrm{xy}+\frac{2\mathrm{x}}{\sqrt{1+{\mathrm{x}}^2}}=0$$$$3/{\mathrm{x}}^2\left(\mathrm{lnx}\right){\mathrm{y}}^{″}+\mathrm{y}=0,\mathrm{know}\mathrm{that}\mathrm{y}=\mathrm{lnx}\mathrm{is}\mathrm{the}\mathrm{answer}$$$$ \…

Question Number 1347 by prakash jain last updated on 24/Jul/15 $$\mathrm{Solve}\mathrm{the}\mathrm{following}\mathrm{DE}$$$$\frac{dy}{dx}+\frac{c_1}{{yx}^2}=c_2$$ Terms of Service Privacy Policy Contact: info@tinkutara.com