Show that the general solution of the differential equation d y-d x-y2-y-1-x2-x-1-0 is given by x-y-1-A1-x-y-2 x y- where A is parameter

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Standard XII

Mathematics

Ordinary Differential Equations

Show that the...

Question

Show that the general solution of the differential equation is given by (x + y + 1) = A (1 – x – y – 2xy), where A is parameter

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Solution

Integrating both sides, we get:

Hence, the given result is proved.

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Similar questions

Show that the general solution of the differential equation $\frac{d y}{d x} + \frac{y^{2} + y + 1}{x^{2} + x + 1} = 0$ is given by $(x + y + 1) = A (1 - x - y - 2 x y)$ , where A is a parameter.

Q. Show that the general solution of the differential equation

\frac{d y}{d x} + \frac{y^{2} + y + 1}{x^{2} + x + 1} = 0

is given by

(x + y + 1) = A (1 - x - y - 2 x y)

, where

A

is parameter.

Q. Show that the general solution of the differential equation is given by ( x + y + 1) = A (1 – x – y – 2 xy ), where A is parameter

\frac{d y}{d x} + \frac{y^{2} + y + 1}{x^{2} + x + 1} = 0

prove that

(x + y + 1) = A (1 - x - y - 2 x y)

where

A

is parameter.

Q. General solution of the differential equation

\frac{d y}{d x} = \frac{x + y + 1}{x + y - 1}

is given by

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Show that the general solution of the differential equation is given by (x + y + 1) = A (1 – x – y – 2xy), where A is parameter

Integrating both sides, we get: Hence, the given result is proved.

Integrating both sides, we get:

Hence, the given result is proved.