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Popular Calculus >

(x^2+49)(dy)/(dx)=7

Solution

(x^{2} + 49) \frac{d y}{d x} = 7

Solution

y = arctan (\frac{x}{7}) + c_{1}

Solution steps

(x^{2} + 49) \frac{d y}{d x} = 7

Substitute

\frac{d y}{d x}

with

y^{'} (x)

(x^{2} + 49) y^{^{'}} (x) = 7

Isolate

y^{'} (x) : y^{'} (x) = \frac{7}{x ^{2} + 49}

If

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

then

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

y = \int \frac{7}{x ^{2} + 49} d x

\int \frac{7}{x ^{2} + 49} d x = arctan (\frac{x}{7}) + c_{1}

y = arctan (\frac{x}{7}) + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (x^2+49)(dy)/(dx)=7 ?
The solution for (x^2+49)(dy)/(dx)=7 is y=arctan(x/7)+c_{1}