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Popular >

y^'+4y=6

Solution

y^{^{'}} + 4 y = 6

Solution

y = - \frac{e ^{- 4 t - c_{1}}}{2} + \frac{3}{2}

Solution steps

y^{'} (t) + 4 y = 6

Solve separable ODE:

y = - \frac{e ^{- 4 t - c_{1}}}{2} + \frac{3}{2}

y = - \frac{e ^{- 4 t - c_{1}}}{2} + \frac{3}{2}

Popular Examples

derivative of-6.25t^2+50t derivative of

- 6.25 t^{2} + 50 t

(x^2+4xy)dx+xdy=0

(x^{2} + 4 x y) d x + x d y = 0

limit as x approaches 1 of 5/((x-1)^2)

x \to 1 lim (\frac{5}{( x - 1 ) ^{2}})

derivative of (1+2x+3x^2+4x^3^{100})

\frac{d}{d x} ((1 + 2 x + 3 x^{2} + 4 x^{3})^{100})

inverse oflaplace (10)/((s-2)(s^3+s))inverse laplace

\frac{10}{( s - 2 ) ( s ^{3} + s )}

Frequently Asked Questions (FAQ)

What is the solution for y^'+4y=6 ?
The solution for y^'+4y=6 is y=-(e^{-4t-c_{1}})/2+3/2