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Popular >

(dy)/(dt)=45t^8

Solution

\frac{d y}{d t} = 45 t^{8}

Solution

y = 5 t^{9} + c_{1}

Solution steps

\frac{d y}{d t} = 45 t^{8}

Substitute

\frac{d y}{d t}

with

y^{'} (t)

y^{^{'}} (t) = 45 t^{8}

If

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

then

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

y = \int 45 t^{8} d t

\int 45 t^{8} d t = 5 t^{9} + c_{1}

y = 5 t^{9} + c_{1}

Popular Examples

derivative of 3(ln(x+1))

\frac{d}{d x} (3 (ln (x) + 1))

y^{''}+y^'+1/4 y=0

y^{^{''}} + y^{^{'}} + \frac{1}{4} y = 0

f(x)=\sqrt[3]{x^3-3x}

integral of (x^3-2x^2+4x)/x

\int \frac{x ^{3} - 2 x ^{2} + 4 x}{x} d x

(dy)/(dx)=sqrt(y^2-9)

\frac{d y}{d x} = y^{2} - 9

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=45t^8 ?
The solution for (dy)/(dt)=45t^8 is y=5t^9+c_{1}