S ssonia Mar 2016 5 0 USA Mar 19, 2016 #1 Given y''(t)+7x'(t)= 0 with x'(0)=a constant U Solve for y' Can l integrate the above ODE directly with respect to a variable t? hence, y'(t)=-7x(t) Thanks

Given y''(t)+7x'(t)= 0 with x'(0)=a constant U Solve for y' Can l integrate the above ODE directly with respect to a variable t? hence, y'(t)=-7x(t) Thanks

romsek MHF Helper Nov 2013 6,738 3,034 California Mar 19, 2016 #2 ssonia said: Given y''(t)+7x'(t)= 0 with x'(0)=a constant U Solve for y' Can l integrate the above ODE directly with respect to a variable t? hence, y'(t)=-7x(t) Thanks Click to expand... yes but there will be a constant of integration $y^\prime(t) = -7x(t) + C$

ssonia said: Given y''(t)+7x'(t)= 0 with x'(0)=a constant U Solve for y' Can l integrate the above ODE directly with respect to a variable t? hence, y'(t)=-7x(t) Thanks Click to expand... yes but there will be a constant of integration $y^\prime(t) = -7x(t) + C$

H HallsofIvy MHF Helper Apr 2005 20,249 7,909 Mar 20, 2016 #6 ssonia said: And if y'(t) = a constant V, then C=v+7x(t) ? Click to expand... Yes, but how do you know that y' is a constant? Do you mean y'(0)= V? (If so there is no need to say "a constant".)

ssonia said: And if y'(t) = a constant V, then C=v+7x(t) ? Click to expand... Yes, but how do you know that y' is a constant? Do you mean y'(0)= V? (If so there is no need to say "a constant".)