Please solve the question in the attachment............ .
Please solve the question in the attachment............ .
Pawan joshi , 6 Years ago
Grade 12th pass
Differential Calculus> Please solve the question in the attachme...
1 Answers
Arun
Last Activity: 6 Years ago
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.
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
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
1 Answer Available
Last Activity: 2 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
0 Answer Available
Last Activity: 2 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
0 Answer Available
Last Activity: 2 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
0 Answer Available
Last Activity: 3 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
0 Answer Available
Last Activity: 3 Years ago