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Popular >

(dy)/(dt)= 4/5 y

Solution

\frac{d y}{d t} = \frac{4}{5} y

Solution

y = e^{\frac{4 t + c _{1}}{5}}

Solution steps

\frac{d y}{d t} = \frac{4}{5} y

Solve separable ODE:

y = e^{\frac{4 t + c _{1}}{5}}

y = e^{\frac{4 t + c _{1}}{5}}

Popular Examples

derivative of (0.09(5^x)/(x^3))

\frac{d}{d x} (\frac{0.09 ( 5 ^{x} )}{x ^{3}})

derivative of ln((3x/4))

\frac{d}{d x} (ln (\frac{3 x}{4}))

y^'=(x(x^2+1))/(4y^3)

y^{^{'}} = \frac{x ( x ^{2} + 1 )}{4 y ^{3}}

integral of 3/(x^4)+4/(x^2)-6/(x^3)

\int \frac{3}{x ^{4}} + \frac{4}{x ^{2}} - \frac{6}{x ^{3}} d x

2ty^'+(4+12t^3-120t^2)y=0

2 t y^{^{'}} + (4 + 12 t^{3} - 120 t^{2}) y = 0

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)= 4/5 y ?
The solution for (dy)/(dt)= 4/5 y is y=e^{(4t+c_{1})/5}