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Popular >

k((dx)/(dt))=x+15

Solution

k (\frac{d x}{d t}) = x + 15

Solution

x = e^{\frac{t + c _{1}}{k}} - 15

Solution steps

k (\frac{d x}{d t}) = x + 15

Solve separable ODE:

x = e^{\frac{t + c _{1}}{k}} - 15

x = e^{\frac{t + c _{1}}{k}} - 15

Popular Examples

integral from 0 to 10 of x

\int_{0}^{10} x d x

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

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

limit as x approaches 2 of (2x-8)/(x-1)

x \to 2 lim (\frac{2 x - 8}{x - 1})

derivative of 4tsin(pit)derivative of

4 t sin (π t)

x^3y^{'''}+3x^2y^{''}-2xy^'+2y=0

x^{3} y^{^{'''}} + 3 x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = 0

Frequently Asked Questions (FAQ)

What is the solution for k((dx)/(dt))=x+15 ?
The solution for k((dx)/(dt))=x+15 is x=e^{(t+c_{1})/k}-15