SOLUTION: Please could someone help with the following: Find y as a function of x given that d^2y/dx^2 = 6x - 4. (y=4 when x=1) and (y=2 when x=-1) Please could you show and explain e

Question 871956: Please could someone help with the following:
Find y as a function of x given that d^2y/dx^2 = 6x - 4. (y=4 when x=1) and (y=2 when x=-1)
Please could you show and explain each step to help me understand the process.
Many Thanks
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
we are given the second derivative d^2y/d^2x = 6x - 4
we will need to integrate the second derivative twice
dy/dx = 3x^2 - 4x +C
y = x^3 -2x^2 +5

RELATED QUESTIONS
Given that dy/dx=a/x^2+1 and that when x=1 dy/dx=3 and y=3 find the value of y when... (answered by solver91311)

Given that dy/dx=a/x^2 +1 and that when x=1 dy/dx=3 and y=3 find the value of y when... (answered by solver91311)

Hi can somebody please help with the below, and be as kind as to talk me through the... (answered by Alan3354)

Hi can somebody please help with the below, and be as kind as to talk me through the... (answered by robertb)

I need help solving the following for y in terms of x: x = y^4 + y^2 + 1 I... (answered by jim_thompson5910)

Morning, Please could somebody possible help with this Right its been a while since (answered by Fombitz)

Would really appreciate help with the following question on my task sheet. Find... (answered by Fombitz)

Could someone maybe help me out with these two please: How do I use synthetic division (answered by solver91311)

A curve is such that dy/dx = 2(3x + 4)^3/2 - 6x - 8 a) Find d^2y/dx^2 b) Verify that... (answered by ikleyn)