UrbanPro

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

Can you find general solution of this equation dy/dx= (1+cosx)/(1-cosx).

Asked by Last Modified  

15 Answers

Follow 0
Answer

Please enter your answer

int y *dy = int (1+cosx)/(1-cosx) *dx int y *dy= int ( 2 cos^2 x/2) / (2 sin^2 x/2) *dx int y *dy= int (cos^x/2) / (sin^2 x/2) * dx int y *dy= int (cot^2 x/2) * dx y = - (cosec ^ 2 x/2 ) / (1/2) +c y = -2 cosec ^2 x/2 ) +c
Comments

Maths Tutor

y=-2Cot(x/2)-x+Constant
Comments

-2cot(x) - 2x
Comments

Trainer

dy/dx= (1+2cos^2(x/2)-1)/(1-(1-2sin^2(x/2))= Cot^2(x/2) dy/dx= 1-cosec^2(x/2) Int(dy)= Int(1-cosec^2(x/2))dx y = x- 2 cot(x/2) + C
Comments

Physics Tutor

dy/dx=(1+cosx)/(1- cosx) => dy/dx=(2cos^2(x/2))/(2sin^2(x/2)) =>dy/dx=cot^2(x/2) => dy/dx=csc^2(x/2)-1 =>Integral=Integral =>y=2cot(x/2) - x + k
Comments

Physics coach

It is formula based question.
Comments

Semi Qualified Chartered Accountant

1
Comments

Maths, Organic Chemistry and Physics Tutor

Multiply the numerator and denominator with (1+cos x)..nd then proceed.
Comments

Tutor

Express 1+cosx and 1-cosx in half multiple angles and eqn reduces to dy = (cot(x/2))^2*dx Just integrate it
Comments

B.Tech

For that you have to multiply 1 + cosx in the numerator and denominator then write the value of (1+cosx)^2 = 1 + (cosx)^2 + 2cosx and divide that value with 1 - (cosx)^2 = (sinx)^2 So you will get (cosecx)^2 + (cotx)^2 + 2 cotx .cosecx now integrate wrt to x and u will get the value y = 2cotx -cosecx-x...
Comments

View 13 more Answers

Related Questions

How can I calculate the value if adj. of a in a matrix simply?
If you know that det of the matrix A then det(adj(A)) = ^(n-1, where n is the order of the matrix A (ofcourse square matrix)
Akash
0 0
8
What is meaning of moment of inertia?
Moment of inertia is the mass property of a rigid body that determines the torque needed for a desired angular acceleration about an axis of rotation. Moment of inertia depends on the shape of the body...
Ravi Ranjan

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

4 Things Every Tech Startup Needs to Know About The Coaching Industry
Knowledge on any subject is widely available to those who wish to learn. However, just gathering knowledge from other people doesn’t guarantee results in business. Results come from applying what...

English (Fill In The Blank)
Question: 1. Even after a century of ____________ investigation, the relation of the solar cycle to terrestrial weather remains _____________. A. Meticulous, apparent B. Cursory, clear C. Sedulous, pertinent...

Accounts: Definitions With Features & Differences
1. Definition of Book-Keeping: It is the art of recording monetary transactions in the books of account in the proper manner. According to E.L.Kohler: Book-Keeping as “the process of analysing ,...
K

For Class 12 Chemistry - Enzyme B12.
The B12 or cobalamin coenzymes are complex macrocycles whose reactivity is associated with a unique cobalt-carbon bond. The two biologically active forms are MeCbl and AdoCbl and their closely related...

For IIT/NEET Aspirants Class 12 Chemistry: Stability Of Metal Alkyl Complex
One determinant of the kinetic stability of metal-alkyl complexes is the presence of hydrogen at the position beta to the metal. If such hydrogens are present and if the metal centre is coordinatively...

Recommended Articles

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more