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Popular >

(dy)/(dx)=yx

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

laplacetransform f(t)=7sin((3t)/2)laplace transform

f (t) = 7 sin (\frac{3 t}{2})

limit as x approaches-1 of-x^2-2x+3

x \to - 1 lim (- x^{2} - 2 x + 3)

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

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

derivative of sin(x^3+y^2)

\frac{d}{d x} (sin (x^{3} + y^{2}))

(\partial)/(\partial x)(1/((x+y)))

\frac{\partial}{\partial x} (\frac{1}{( x + y )})

Frequently Asked Questions (FAQ)

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