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Popular >

(dx)/(dy)+800y=400

Solution

\frac{d x}{d y} + 800 y = 400

Solution

x = 400 y - 400 y^{2} + c_{1}

Solution steps

\frac{d x}{d y} + 800 y = 400

Substitute

\frac{d x}{d y}

with

x^{'} (y)

x^{^{'}} (y) + 800 y = 400

Isolate

x^{'} (y) : x^{'} (y) = 400 - 800 y

If

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

then

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

x = \int 400 - 800 y d y

\int 400 - 800 y d y = 400 y - 400 y^{2} + c_{1}

x = 400 y - 400 y^{2} + c_{1}

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Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dy)+800y=400 ?
The solution for (dx)/(dy)+800y=400 is x=400y-400y^2+c_{1}