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Popular >

(dy)/(dt)= y/2

Solution

\frac{d y}{d t} = \frac{y}{2}

Solution

y = e^{\frac{t + c _{1}}{2}}

Solution steps

\frac{d y}{d t} = \frac{y}{2}

Solve separable ODE:

y = e^{\frac{t + c _{1}}{2}}

y = e^{\frac{t + c _{1}}{2}}

Popular Examples

integral of 3x(x^2-4)^{1/2}

\int 3 x (x^{2} - 4)^{\frac{1}{2}} d x

derivative of (e^x/(6x^2+1))

\frac{d}{d x} (\frac{e ^{x}}{6 x ^{2} + 1})

limit as x approaches-8 of \sqrt[3]{x}

derivative of 3000(1+(4x/(x^2+100)))

\frac{d}{d x} (3000 (1 + \frac{4 x}{x ^{2} + 100}))

derivative of (e^{4x})/4+(e^{5x})/5 derivative of

\frac{e ^{4 x}}{4} + \frac{e ^{5 x}}{5}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)= y/2 ?
The solution for (dy)/(dt)= y/2 is y=e^{(t+c_{1})/2}