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Popular >

y^'=-y/2-3

Solution

y^{^{'}} = - \frac{y}{2} - 3

Solution

y = e^{\frac{- t - c _{1}}{2}} - 6

Solution steps

y^{'} (t) = - \frac{y}{2} - 3

Solve separable ODE:

y = e^{\frac{- t - c _{1}}{2}} - 6

y = e^{\frac{- t - c _{1}}{2}} - 6

Graph

Popular Examples

y^{^{'}} - 2 e^{x} y = 2 e^{x}

(dy)/(dx)y=cos(ln(2x))

\frac{d y}{d x} y = cos (ln (2 x))

(x^2+9)(dy)/(dx)+xy-8x=0

(x^{2} + 9) \frac{d y}{d x} + x y - 8 x = 0

y+6y^'+13y=10,e^{2t}y=-13

y + 6 y^{^{'}} + 13 y = 10, e^{2 t} y = - 13

(dy)/(dt)=5-7/400 y

\frac{d y}{d t} = 5 - \frac{7}{400} y

Frequently Asked Questions (FAQ)

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