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Popular >

y^'+ky=0

Solution

y^{^{'}} + k y = 0

Solution

y = e^{- k t + c_{1}}

Solution steps

y^{'} (t) + k y (t) = 0

Solve separable ODE:

y = e^{- k t + c_{1}}

y = e^{- k t + c_{1}}

Popular Examples

derivative of f(x)=(x^5-x^3+3)^4 derivative of

f (x) = (x^{5} - x^{3} + 3)^{4}

(d^2y)/(dx^2)-7(dy)/(dx)+12y=0

\frac{d ^{2} y}{d x ^{2}} - 7 \frac{d y}{d x} + 12 y = 0

integral of ((x^3-5x+2))/(x^{1/2)}

\int \frac{( x ^{3} - 5 x + 2 )}{x ^{\frac{1}{2}}} d x

derivative of (4x^2+3x^2)

\frac{d}{d x} ((4 x^{2} + 3 x)^{2})

integral of x^3sqrt(x^2+34)

\int x^{3} x^{2} + 34 d x

Frequently Asked Questions (FAQ)

What is the solution for y^'+ky=0 ?
The solution for y^'+ky=0 is y=e^{-kt+c_{1}}