Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

If y = ea cos-1 x  , -1 <_  x _< 1 show that (1 – x2)d2y/dx2 – x dy/dx – a2y = 0       explain in great detail
Asked by haroonrashidgkp | 25 Aug, 2018, 07:05: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight y equals straight e to the power of acos to the power of negative 1 end exponent straight x end exponent dy over dx equals straight e to the power of acos to the power of negative 1 end exponent straight x end exponent cross times fraction numerator negative straight a over denominator square root of 1 minus straight x squared end root end fraction dy over dx equals fraction numerator negative ay over denominator square root of 1 minus straight x squared end root end fraction open parentheses dy over dx close parentheses squared equals open parentheses fraction numerator negative ay over denominator square root of 1 minus straight x squared end root end fraction close parentheses squared open parentheses 1 minus straight x squared close parentheses open parentheses dy over dx close parentheses squared equals straight a squared straight y squared open parentheses 1 minus straight x squared close parentheses 2 dy over dx fraction numerator straight d squared straight y over denominator dx squared end fraction plus open parentheses dy over dx close parentheses squared open parentheses negative 2 straight x close parentheses equals straight a squared open parentheses 2 dy over dx close parentheses open parentheses 1 minus straight x squared close parentheses fraction numerator straight d squared straight y over denominator dx squared end fraction minus open parentheses dy over dx close parentheses straight x equals straight a squared open parentheses 1 minus straight x squared close parentheses fraction numerator straight d squared straight y over denominator dx squared end fraction minus open parentheses dy over dx close parentheses straight x minus straight a squared equals 0 end style
Answered by Sneha shidid | 28 Aug, 2018, 11:26: AM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
x=acos^3theta and y=bsin^3theta find d^2y/dx^2.
Asked by gunturiabhishek | 18 Oct, 2020, 03:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
if x=a(1-cosθ ),y =b sinθ , then find dy/dx and d^2y/dx^2.
Asked by Gothai | 28 Aug, 2018, 11:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If x = a cos thita + b sin thita and y = a sin thita – b cos thita, show that y2d2y/dx2 – x dy/dx + y = 0 explain in great detail
Asked by haroonrashidgkp | 25 Aug, 2018, 07:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If x = a(cos thita + thita sin thita) and y = a(sin thita – thita cos thita), show that d2y/dx2 = 1/a (sec3thita / thita) Explain in great detail
Asked by haroonrashidgkp | 25 Aug, 2018, 07:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If y = {x + (x2 + 1)1/2}m then show that (x2 + 1)d2y/dx2 + x dy/dx – m2y = 0
Asked by haroonrashidgkp | 25 Aug, 2018, 07:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If y = ea cos-1 x  , -1 <_  x _< 1 show that (1 – x2)d2y/dx2 – x dy/dx – a2y = 0       explain in great detail
Asked by haroonrashidgkp | 25 Aug, 2018, 07:05: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the second order derivative of  sin 3x cos 5x  
Asked by haroonrashidgkp | 24 Aug, 2018, 11:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the second order derivative  of e3x sin 4x Explain in great detail  
Asked by haroonrashidgkp | 24 Aug, 2018, 11:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If y = sec x – tan x , show that  (cos x)d2y/dx2 = y2 Explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 11:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Differentiate space straight y equals square root of fraction numerator straight x squared plus 2 over denominator straight x squared plus 3 end fraction end root 
Asked by Topperlearning User | 01 Aug, 2014, 01:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×