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Popular >

expand (dy)/x (x^2+16y^2=25)

Solution

expand

\frac{d y}{x} (x^{2} + 16 y^{2} = 25)

Solution

x d y + \frac{16 y ^{2} d y}{x} = 25

Solution steps

\frac{d y}{x} (x^{2} + 16 y^{2} = 25)

= \frac{d y}{x} (x^{2} + 16 \cdot 25 = y^{2})

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{d y}{x}, b = x^{2}, c = 16 y^{2} = 25

\frac{d y}{x} x^{2} + \frac{d y}{x} \cdot 16 y^{2} = 25

\frac{d y}{x} x^{2} + 16 \cdot \frac{d y}{x} y^{2} = 25

Expand

\frac{d y}{x} x^{2} + 16 \cdot \frac{d y}{x} y^{2} : x d y + \frac{16 y ^{2} d y}{x}

x d y + \frac{16 y ^{2} d y}{x} = 25

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Frequently Asked Questions (FAQ)

What is expand (dy)/x (x^2+16y^2=25) ?
The solution to expand (dy)/x (x^2+16y^2=25) is xdy+(16y^2dy)/x =25