Grade 12Differential Calculus

if y=x/x+2 prove that xdy/dx=(1-y)y

taniska

12 Years agoGrade 12

2 Answers

bharat bajaj

12 Years ago

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

Lhs = 2x/(x+2)^2

Rhs= (1-y)y = 2/(x+2). x/(x+2)

Rhs = 2x/(x+2)^2

Lhs =rhs

Thanks

Bharat Bajaj

Askiitians faculty

Arun Kumar

12 Years ago

$\\y=\frac{x}{x+2} \\\frac{dy}{dx}=\frac{1}{x+2}-\frac{x}{(x+2)^2} \\=>x\frac{dy}{dx}=x\frac{1}{x+2}-x\frac{x}{(x+2)^2} \\=>x\frac{dy}{dx}=y-y^2 \\=>x\frac{dy}{dx}=(1-y)*y$

Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?

differential calculus

1 Answer Available

Last Activity: 3 Years ago

Find dy/DX when y=x^sinx+sin-1√x.

Please give me the solution of this problem.

differential calculus

1 Answer Available

Last Activity: 4 Years ago

If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.

differential calculus

1 Answer Available

Last Activity: 4 Years ago

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.

differential calculus

1 Answer Available

Last Activity: 4 Years ago

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.

differential calculus

1 Answer Available

Last Activity: 4 Years ago

View all Questions

if y=x/x+2 prove that xdy/dx=(1-y)y

taniska

2 Answers

bharat bajaj

Arun Kumar

Other Related Questions on differential calculus

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?

Find dy/DX when y=x^sinx+sin-1√x. Please give me the solution of this problem.

If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin Cwhere A + B + C = T(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.

Find dy/DX when y=x^sinx+sin-1√x.

Please give me the solution of this problem.

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.