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Popular >

(dy)/(dx)=x(7-y)

Solution

\frac{d y}{d x} = x (7 - y)

Solution

y = - e^{- \frac{x ^{2}}{2} - c_{1}} + 7

Solution steps

\frac{d y}{d x} = x (7 - y)

Solve separable ODE:

y = - e^{- \frac{x ^{2}}{2} - c_{1}} + 7

y = - e^{- \frac{x ^{2}}{2} - c_{1}} + 7

Popular Examples

sum from n=0 to infinity of sin(pin)

n = 0 \sum \infty sin (πn)

derivative of (-4x)/((x^2-1)^2)derivative of

\frac{- 4 x}{( x ^{2} - 1 ) ^{2}}

tangent of y= x/(1+x^2),(2, 2/5)tangent of

y = \frac{x}{1 + x ^{2}}, (2, \frac{2}{5})

tangent of f(x)=sqrt(x+3)tangent of

f (x) = x + 3

(dy)/(dt)=(3-2y)*t^3

\frac{d y}{d t} = (3 - 2 y) \cdot t^{3}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x(7-y) ?
The solution for (dy)/(dx)=x(7-y) is y=-e^{-(x^2)/2-c_{1}}+7