The differential equation dydx - 1ax - by - c where a- b- c are all non zero real numbers- is-

The correct option is C Linear in x dxdy = ax + by + c dxdy ax = by + c Linear in x ...

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Chain Rule of Differentiation

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Question

The differential equation $\frac{d y}{d x} = \frac{1}{a x + b y + c}$ where $a, b, c$ are all non zero real numbers, is:

Linear in y

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Linear in x

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Linear in both x and y

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Homogeneous equation

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Solution

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Similar questions

\frac{d x}{d y}

\frac{1}{a x + b y + c}

a

b

c

\int_{0}^{1} (1 + {cos}^{8} x) (a x^{2} + b x + c) d x = \int_{0}^{2} (1 + {cos}^{8} x) (a x^{2} + b x + c) d x = 0

a x^{2} + b x + c = 0

a, b, c

\int_{0}^{1} (1 + c o s^{8} x) (a x^{2} + b x + c) d x = \int_{0}^{2} (1 + c o s^{8} x) (a x^{2} + b x + c) d x .

a x^{2} + b x + c = 0

y = (a + b e^{c}) x

x \frac{d y}{d x} - y = 0,

a, b

c

n t h

n

f (x) = \frac{a x + b}{c x + d}

\frac{d}{c}

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