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Popular >

h^'=xln(x)2h

Solution

h^{^{'}} = x ln (x) 2 h

Solution

h (x) = e^{- \frac{x ^{2}}{2} + c_{1}} x^{x^{2}}

Solution steps

h^{'} (x) = x ln (x) 2 h (x)

Solve separable ODE:

h (x) = e^{- \frac{x ^{2}}{2} + c_{1}} x^{x^{2}}

h (x) = e^{- \frac{x ^{2}}{2} + c_{1}} x^{x^{2}}

Popular Examples

(dx)/(dy)= x/(-y*2)

\frac{d x}{d y} = \frac{x}{- y \cdot 2}

y y^{^{'}} = e^{2 x}

(dy)/(dx)=56yx^7

\frac{d y}{d x} = 56 y x^{7}

(dy)/(dx)=(x(y+2)^2)/(e^{-x^2)}

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

(dy)/(dx)4y^2=(3x-15)/(3x+15)

\frac{d y}{d x} 4 y^{2} = \frac{3 x - 15}{3 x + 15}

Frequently Asked Questions (FAQ)

What is the solution for h^'=xln(x)2h ?
The solution for h^'=xln(x)2h is h(x)=e^{-(x^2)/2+c_{1}}x^{x^2}