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Popular >

(dy)/(dt)=25t^4

Solution

\frac{d y}{d t} = 25 t^{4}

Solution

y = 5 t^{5} + c_{1}

Solution steps

\frac{d y}{d t} = 25 t^{4}

Substitute

\frac{d y}{d t}

with

y^{'} (t)

y^{^{'}} (t) = 25 t^{4}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int 25 t^{4} d t

\int 25 t^{4} d t = 5 t^{5} + c_{1}

y = 5 t^{5} + c_{1}

Graph

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y^{^{'}} = \frac{6 x - 12}{x ^{2}}, y (1) = 20

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\frac{d}{d b} (sec (b) \cdot csc (b) \cdot sin (b))

integral of (((ln(x))^4)/x)

\int (\frac{( ln ( x ) ) ^{4}}{x}) d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=25t^4 ?
The solution for (dy)/(dt)=25t^4 is y=5t^5+c_{1}