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Popular >

(dy)/(dx)=x(4-y)

Solution

\frac{d y}{d x} = x (4 - y)

Solution

y = - e^{- \frac{x ^{2}}{2} - c_{1}} + 4

Solution steps

\frac{d y}{d x} = x (4 - y)

Solve separable ODE:

y = - e^{- \frac{x ^{2}}{2} - c_{1}} + 4

y = - e^{- \frac{x ^{2}}{2} - c_{1}} + 4

Popular Examples

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\int x^{2} + 2 x d x

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\frac{d}{d x} (\frac{1}{( x + 4 ) ^{2}})

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\frac{d}{d x} (sin (2) x)

sum from n=0 to infinity of (ln(3))^n

n = 0 \sum \infty (ln (3))^{n}

integral of 1/((x-9)(x^2+16))

\int \frac{1}{( x - 9 ) ( x ^{2} + 16 )} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x(4-y) ?
The solution for (dy)/(dx)=x(4-y) is y=-e^{-(x^2)/2-c_{1}}+4