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Popular Calculus >

(dh)/(dt)=-h^2

Solution

\frac{d h}{d t} = - h^{2}

Solution

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

Solution steps

\frac{d h}{d t} = - h^{2}

Solve separable ODE:

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

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

Graph

Popular Examples

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\int \frac{1}{x ^{2} x ^{2} - 5} d x

parity y=x^{8cos(x)}parity

y = x^{8 c o s (x)}

derivative of-2/((x-2^2))

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

integral of e^{3x}sin(4x)

\int e^{3 x} sin (4 x) d x

x^2y^{''}-2xy^'+2y=4x^2

x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = 4 x^{2}

Frequently Asked Questions (FAQ)

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