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Popular >

y^'=(x*y)/(1+x^2)

Solution

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

Solution

y = c_{1} 1 + x^{2}

Solution steps

y^{'} (x) = \frac{x \cdot y}{1 + x ^{2}}

Solve separable ODE:

y = c_{1} 1 + x^{2}

y = c_{1} 1 + x^{2}

Popular Examples

integral of (x^3+x^2)^9(3x^2+2x)

\int (x^{3} + x^{2})^{9} (3 x^{2} + 2 x) d x

integral of 7e^{4x}cos(8x)

\int 7 e^{4 x} cos (8 x) d x

derivative of f(x)=2x-5 derivative of

f (x) = 2 x - 5

integral of (108)/(w^2sqrt(36-w^2))

\int \frac{108}{w ^{2} 36 - w ^{2}} d w

(dy)/(dx)=0.06y-24000

\frac{d y}{d x} = 0.06 y - 24000

Frequently Asked Questions (FAQ)

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