Question and Answers Forum

All Questions      Topic List

Differential Equation Questions

Previous in All Question      Next in All Question      

Previous in Differential Equation      Next in Differential Equation      

Question Number 68113 by Joel122 last updated on 05/Sep/19

$$\mathrm{Solve}$$$$y.y^{″}=3{\left(y^{\prime }\right)}^2$$

Answered by Smail last updated on 05/Sep/19

$$\iff \frac{y^{″}}{y^{\prime }}=3\frac{y^{\prime }}{y}$$$$ln\mid y^{\prime }\mid =3ln\mid y\mid +c$$$$y^{\prime }={ky}^3$$$$\frac{y^{\prime }}{y^3}=k\iff -\frac{1}{2y^2}=kt+C$$$$y^2=\frac{-2}{kt+C}$$

Commented by Joel122 last updated on 05/Sep/19

$$thankyouverymuch$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com