Find the general solution of the differential equation 3xdy/dx =2y and then find the value of C if when x=8, y=2. Finally write the particular solution of the equation for the indicated condition.

Question

bahrom7893 · Answer

$$3x\frac{dy}{dx}=2y$$$$3x*dy=2y*dx$$$$\frac{dy}{2y}=\frac{dx}{3x}$$

bahrom7893 · Answer

$$\int\frac{dy}{2y}=\int\frac{dx}{3x}$$$$\frac{1}{2}ln|y|=\frac{1}{3}ln|x|+C$$

bahrom7893 · Answer

sqrt(y)=A*(cube root of x)
$$y=A^2*x^{\frac{2}{3}}$$

anonymous · Answer

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