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Popular >

dy+7xdx=0

Solution

d y + 7 x d x = 0

Solution

y = - \frac{7 x ^{2}}{2} + c_{1}

Solution steps

d y + 7 x d x = 0

Let

y

be the dependent variable. Divide by

d x

:

\frac{d y}{d x} + 7 x = 0

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) + 7 x = 0

Isolate

y^{'} (x) : y^{'} (x) = - 7 x

If

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

then

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

y = \int - 7 x d x

\int - 7 x d x = - \frac{7 x ^{2}}{2} + c_{1}

y = - \frac{7 x ^{2}}{2} + c_{1}

Graph

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x \to 3 lim (\frac{( 3 - x )}{x - 3})

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x \to 8 lim (\frac{x + 8}{x - 8})

Frequently Asked Questions (FAQ)

What is the solution for dy+7xdx=0 ?
The solution for dy+7xdx=0 is y=-(7x^2)/2+c_{1}