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Popular >

(dh)/(dt)+1/2 h=1

Solution

\frac{d h}{d t} + \frac{1}{2} h = 1

Solution

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

Solution steps

\frac{d h}{d t} + \frac{1}{2} h = 1

Solve separable ODE:

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

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

Popular Examples

derivative of \sqrt[4]{sin(x^3})

integral of e^{cos(6t)}sin(6t)

\int e^{c o s (6 t)} sin (6 t) d t

y^{''}-4y^'+4y=0,y(0)=-4,y^'(0)=4

y^{^{''}} - 4 y^{^{'}} + 4 y = 0, y (0) = - 4, y^{^{'}} (0) = 4

integral of 1/(100+2t)

\int \frac{1}{100 + 2 t} d t

limit as x approaches+0 of 3x

x \to + 0 lim (3 x)

Frequently Asked Questions (FAQ)

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