Question

Find the implicit general solution of the differential equation given. Assume x and y are non-zero. $$\frac{dy}{dx} = \frac{(x-2)y^7}{x^2(2y^4-y)}$$ An implicit general solution in the form of F(x,y) = C is = C, where C is an arbitrary constant.

Name: find the implicit general solution of the differential equation given assume x and y are non zero fracdydx fracx 2y7x22y4 y an implicit general solution in the form of fxy c is c where c is 34197
Uploaded: 2023-08-23T15:12:48-08:00
Duration: 2 min 46 s
Channel: Sri K
Description: find the implicit general solution of the differential equation given assume x and y are non zero fracdydx fracx 2y7x22y4 y an implicit general solution in the form of fxy c is c where c is 34197

          Find the implicit general solution of the differential equation given. Assume x and y are non-zero.
$$\frac{dy}{dx} = \frac{(x-2)y^7}{x^2(2y^4-y)}$$
An implicit general solution in the form of F(x,y) = C is = C, where C is an arbitrary constant.

$find the implicit general solution of the differential equation given assume x and y are non zero fracdydx fracx 2y7x22y4 y an implicit general solution in the form of fxy c is c where c is 34197$

Added by Natasha A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

08/23/2023

Step 1

Step 1: We are given the differential equation $$\frac{dy}{dx} = \frac{(x-2)y^7}{x^2(2y^4-y)}$$ We can rewrite this as $$\frac{2y^4-y}{y^7} dy = \frac{x-2}{x^2} dx$$ $$\left(\frac{2y^4}{y^7} - \frac{y}{y^7}\right) dy = \left(\frac{x}{x^2} - \frac{2}{x^2}\right) Show more…

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Find the implicit general solution of the differential equation given. Assume x and y are non-zero. $$\frac{dy}{dx} = \frac{(x-2)y^7}{x^2(2y^4-y)}$$ An implicit general solution in the form of F(x,y) = C is = C, where C is an arbitrary constant.