solve-the-initial-value-problem-x-dy3y-dx0-x-dy-3sqrty-dx-0-y14y14

Question

Solve the initial value problem: x dy−3y dx=0 x \, dy - 3\sqrt{y}\, dx = 0 , y(1)=4y(1)=4.

Accepted Answer

y=(32ln⁡∣x∣+2)2\displaystyle{{\displaystyle y=\left(\frac32\ln\left|x\right|+2\$$right)^2$$}}

Answer

y=(3ln⁡∣x∣+2)2{\displaystyle{{{\displaystyle y=\left(3\ln\left|x\right|+2\$$right)^2$$}}}}

Answer

y=(23ln⁡∣x∣+2)2{\displaystyle{{{\displaystyle y=\left(\frac23\ln\left|x\right|+2\$$right)^2$$}}}}

Answer

y=(12ln⁡∣x∣+32)2{\displaystyle{{{\displaystyle y=\left(\frac12\ln\left|x\right|+\frac32\$$right)^2$$}}}}

Solve the initial value problem: xdy−3ydx=0 x \, dy - 3\(\sqrt{y}\)\, dx = 0 , y(1)=4y(1)=4.