# 2nd order ODE

#### 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

#### romsek

MHF Helper
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

$y^\prime(t) = -7x(t) + C$

#### ssonia

And if y'(t) = a constant V, then C=v+7x(t) ?

Yes.

#### ssonia

Thanks Archie....

#### HallsofIvy

MHF Helper
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".)