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Popular >

x^2=y^2(dy)/(dx)

Solution

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

Solution

y = 3 x^{3} + c_{1}

Solution steps

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

Solve separable ODE:

y = 3 x^{3} + c_{1}

y = 3 x^{3} + c_{1}

Graph

Popular Examples

(dy)/(dx)=((3x^2)/(e^y+1))

\frac{d y}{d x} = (\frac{3 x ^{2}}{e ^{y} + 1})

(dy)/(dx)=((y+1))/(2x)

\frac{d y}{d x} = \frac{( y + 1 )}{2 x}

3y^2(x-3)^2(dy)/(dx)3y^2(x-3)^2=k

3 y^{2} (x - 3)^{2} \frac{d y}{d x} 3 y^{2} (x - 3)^{2} = k

(dy)/(dx)=e^{4y+6x}

\frac{d y}{d x} = e^{4 y + 6 x}

(dy)/(dx)=(y-2)^2

\frac{d y}{d x} = (y - 2)^{2}

Frequently Asked Questions (FAQ)

What is the solution for x^2=y^2(dy)/(dx) ?
The solution for x^2=y^2(dy)/(dx) is y=\sqrt[3]{x^3+c_{1}}