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Popular >

x^'=k(300-x)

Solution

x^{^{'}} = k (300 - x)

Solution

x = - e^{- k t - c_{1}} + 300

Solution steps

x^{'} (t) = k (300 - x)

Solve separable ODE:

x = - e^{- k t - c_{1}} + 300

x = - e^{- k t - c_{1}} + 300

Graph

Popular Examples

derivative of (8x^3-9/(x^2))

\frac{d}{d x} (\frac{8 x ^{3} - 9}{x ^{2}})

integral of 1/(u^5)

\int \frac{1}{u ^{5}} d u

derivative of 4cos(x-sin(x))

\frac{d}{d x} (4 cos (x) - sin (x))

x^2y^{''}-3xy^'+3y=0,y(1)=5,y^'(1)=3

x^{2} y^{^{''}} - 3 x y^{^{'}} + 3 y = 0, y (1) = 5, y^{^{'}} (1) = 3

x(e^{y/x}-1)y^'=e^{y/x}(y-x)

x (e^{\frac{y}{x}} - 1) y^{^{'}} = e^{\frac{y}{x}} (y - x)

Frequently Asked Questions (FAQ)

What is the solution for x^'=k(300-x) ?
The solution for x^'=k(300-x) is x=-e^{-kt-c_{1}}+300