Grade 12th passDifferential Calculus
Please solve the question in the attachment............ .
Please solve the question in the attachment............ .
1 Answer
Arun
2x = y1/n + y-1/n ----1
diff. both the sides w.r.t. x
2 = [1/n .y1/n-1 + (-1/n).y-1/n] dy/dx
[y1/n - y-1/n] dy/dx = 2ny
sq. both the sides,
[(y1/n - y-1/n-1)2] (dy/dx)2 = 4n2y2
[(y1/n + y-1/n)2- 4] (dy/dx)2 = 4n.n.y.y
From 1,
[(2x)2 - 4)] (dy/dx)2 = 4n.n.y.y
[(4x2 - 4)] (dy/dx)2 = 4n2y2
(x2 - 1) (dy/dx)2 = n2y2
again diff. w.r.t. x,
2.y1.y2 (1-x2) + 2xy12 = 2y.y1n2
dividing both the sides by 2y1, we get
(1-x2)y2 + xy1=yn2
Thus option 2 is correct.
diff. both the sides w.r.t. x
2 = [1/n .y1/n-1 + (-1/n).y-1/n] dy/dx
[y1/n - y-1/n] dy/dx = 2ny
sq. both the sides,
[(y1/n - y-1/n-1)2] (dy/dx)2 = 4n2y2
[(y1/n + y-1/n)2- 4] (dy/dx)2 = 4n.n.y.y
From 1,
[(2x)2 - 4)] (dy/dx)2 = 4n.n.y.y
[(4x2 - 4)] (dy/dx)2 = 4n2y2
(x2 - 1) (dy/dx)2 = n2y2
again diff. w.r.t. x,
2.y1.y2 (1-x2) + 2xy12 = 2y.y1n2
dividing both the sides by 2y1, we get
(1-x2)y2 + xy1=yn2
Thus option 2 is correct.
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?
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
Last Activity: 3 Years ago
Find dy/DX when y=x^sinx+sin-1√x. Please give me the solution of this problem.
Find dy/DX when y=x^sinx+sin-1√x.
Please give me the solution of this problem.
differential calculus
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.
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
Last Activity: 4 Years ago
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
differential calculus
Last Activity: 4 Years ago
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.
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
Last Activity: 4 Years ago