MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

⇐ BackProceed to Checkout ⇒
There are no items in this cart.
Continue Shopping
Menu
Grade: 12th Pass 
        form the differential equation for the following family of curves

y=c1*(e^x)+(e^c1)*e^(2x)+(ln(c1))*e^(3x)
7 years ago

Answers : (1)

View Solution
Jitender Singh
IIT Delhi
askIITians Faculty
158 Points 
							
Ans:
y = c_{1}e^{x} + e^{c_{1}}e^{2x} + lnc_{1}.e^{3x}
y' = c_{1}e^{x} + 2e^{c_{1}}e^{2x} + 3 lnc_{1}.e^{3x}
y'' = c_{1}e^{x} + 4e^{c_{1}}e^{2x} + 9lnc_{1}.e^{3x}
y''' = c_{1}e^{x} + 8e^{c_{1}}e^{2x} + 27lnc_{1}.e^{3x}
Differential equation of family of curves:
You can solve this system of equations by matrix method. Matrix would be of 4 columns & 4 rows.
First column elements will be 1, 1, 1 & 1, second column elements will be 1, 2, 4 & 8, third column will be 1, 3, 9 & 27 ans 4thcolumn will be y, y’, y’’ & y’’’.
Detrminent of matrix is zero.
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty
5 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Other Related Questions on Integral Calculus

please find attached the screenshot or image and help me with this problem by giving detailed step... Answer & Earn Cool Goodies
Related to integral calculus, very important type question Answer & Earn Cool Goodies
What is the integration of: ax+b (ax^2+b)^1/2 dx ? The answer is 1/3(ax^2 + b)^3/2 + (b/2)x...
Please solve the integral problem . Definite integrals
Integration of these 3 questions With full explanation and all steps and the formulaes used..
View all Questions »


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 51 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers To Win!!! Click Here for details