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Popular >

(dy)/(dx)=x+4

Solution

\frac{d y}{d x} = x + 4

Solution

y = \frac{x ^{2}}{2} + 4 x + c_{1}

Solution steps

\frac{d y}{d x} = x + 4

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x + 4

If

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

then

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

y = \int x + 4 d x

\int x + 4 d x = \frac{x ^{2}}{2} + 4 x + c_{1}

y = \frac{x ^{2}}{2} + 4 x + c_{1}

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x \to 0 lim (\frac{1}{2 ^{x}})

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x+4 ?
The solution for (dy)/(dx)=x+4 is y=(x^2)/2+4x+c_{1}