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Popular >

(y^')/y = 2/x

Solution

\frac{y ^{^{'}}}{y} = \frac{2}{x}

Solution

y = c_{1} x^{2}

Solution steps

\frac{y ^{'} ( x )}{y} = \frac{2}{x}

Solve separable ODE:

y = c_{1} x^{2}

y = c_{1} x^{2}

Popular Examples

(dy)/(dx)*tan(x)=y

\frac{d y}{d x} \cdot tan (x) = y

xy^'=-y+1/(y^2)

x y^{^{'}} = - y + \frac{1}{y ^{2}}

y^{^{'}} + \frac{y}{200} = 5

(dy)/(dx)=14y+1,y=-1/14+12e^{14x}

\frac{d y}{d x} = 14 y + 1, y = - \frac{1}{14} + 12 e^{14 x}

(9x^2+2x)dx+(12y^3-4y)dy=0

(9 x^{2} + 2 x) d x + (12 y^{3} - 4 y) d y = 0

Frequently Asked Questions (FAQ)

What is the solution for (y^')/y = 2/x ?
The solution for (y^')/y = 2/x is y=c_{1}x^2