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Popular >

(dy)/(dx)=xy

Solution

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

Solution

y = e^{\frac{x ^{2}}{2} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + c_{1}}

y = e^{\frac{x ^{2}}{2} + c_{1}}

Graph

Popular Examples

y^{''}+4y+8=0,y(0)=4,y^'(0)=-3

y^{^{''}} + 4 y + 8 = 0, y (0) = 4, y^{^{'}} (0) = - 3

tangent of f(x)=-2*sqrt(x),\at x=1 tangent of

f (x) = - 2 \cdot x, at x = 1

derivative of (6x^2+6x+2/(sqrt(x)))

\frac{d}{d x} (\frac{6 x ^{2} + 6 x + 2}{x})

(\partial)/(\partial x)(cos^4(x^3y^8))

\frac{\partial}{\partial x} (cos^{4} (x^{3} y^{8}))

f(x)=arctan(sqrt(x))

f (x) = arctan (x)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=xy ?
The solution for (dy)/(dx)=xy is y=e^{(x^2)/2+c_{1}}