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Popular >

(dy)/(dx)= 1/5 x

Solution

\frac{d y}{d x} = \frac{1}{5} x

Solution

y = \frac{x ^{2}}{10} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{1}{5} x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = \frac{1}{5} x

If

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

then

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

y = \int \frac{1}{5} x d x

\int \frac{1}{5} x d x = \frac{x ^{2}}{10} + c_{1}

y = \frac{x ^{2}}{10} + c_{1}

Popular Examples

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f (x) = x^{2} - 4, at x = 3

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\int e^{4 θ} sin (5 θ) d θ

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f (x) = 3 x^{2}, g (x) = - 3 x + 6, [- 4, 2]

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4 e^{x} - 3 x^{2}

limit as x approaches 48 of (x^2)/8-6/x

x \to 48 lim (\frac{x ^{2}}{8} - \frac{6}{x})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)= 1/5 x ?
The solution for (dy)/(dx)= 1/5 x is y=(x^2)/(10)+c_{1}