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Popular >

y^'=2y+3

Solution

y^{^{'}} = 2 y + 3

Solution

y = \frac{e ^{2 t + c_{1}}}{2} - \frac{3}{2}

Solution steps

y^{'} (t) = 2 y + 3

Solve separable ODE:

y = \frac{e ^{2 t + c_{1}}}{2} - \frac{3}{2}

y = \frac{e ^{2 t + c_{1}}}{2} - \frac{3}{2}

Popular Examples

(dx)/(dt)=(a-b*t)x

\frac{d x}{d t} = (a - b \cdot t) x

derivative of (x^2+x^2)

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

sum from n=0 to infinity of (n^5)/(5^n)

n = 0 \sum \infty \frac{n ^{5}}{5 ^{n}}

limit as t approaches-1 of ln(t+2)

t \to - 1 lim (ln (t + 2))

y=(z^2+1)/(z^2-1)

y = \frac{z ^{2} + 1}{z ^{2} - 1}

Frequently Asked Questions (FAQ)

What is the solution for y^'=2y+3 ?
The solution for y^'=2y+3 is y=(e^{2t+c_{1}})/2-3/2