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
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Originally Posted by ssonia 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 yes but there will be a constant of integration $y^\prime(t) = -7x(t) + C$
And if y'(t) = a constant V, then C=v+7x(t) ?
Yes.
Thanks Archie....
Originally Posted by ssonia And if y'(t) = a constant V, then C=v+7x(t) ? 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".)
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