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Popular >

y^'=k*y

Solution

y^{^{'}} = k \cdot y

Solution

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

Solution steps

y^{'} (t) = k \cdot y

Solve separable ODE:

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

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

Popular Examples

derivative of ((3t-1))/(sqrt(t)-2)derivative of

\frac{( 3 t - 1 )}{t - 2}

tangent of y=(4x)/(x+2)tangent of

y = \frac{4 x}{x + 2}

derivative of ln(4xy)

\frac{d}{d x} (ln (4 x y))

derivative of (18)/(x^4)derivative of

\frac{18}{x ^{4}}

f(x)= x/((1+x^2))

f (x) = \frac{x}{( 1 + x ^{2} )}

Frequently Asked Questions (FAQ)

What is the solution for y^'=k*y ?
The solution for y^'=k*y is y=e^{kt+c_{1}}