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Popular >

10x+(dy)/(dx)=0

Solution

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

Solution

y = - 5 x^{2} + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

Isolate

y^{'} (x) : y^{'} (x) = - 10 x

If

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

then

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

y = \int - 10 x d x

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

y = - 5 x^{2} + c_{1}

Popular Examples

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

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dr=e(rsin(θ)dθ-cos(θ)dr)

d r = e (r sin (θ) d θ - cos (θ) d r)

integral of y-x/(y^2)sin(x/y)

\int y - \frac{x}{y ^{2}} sin (\frac{x}{y}) d y

Frequently Asked Questions (FAQ)

What is the solution for 10x+(dy)/(dx)=0 ?
The solution for 10x+(dy)/(dx)=0 is y=-5x^2+c_{1}