M ManyTimes New member Joined Feb 8, 2010 Messages 14 Apr 2, 2010 #1 Short question about diff Eq. x' = t * cos(t)² Hello, it is me again. Solving the equation: x' = t * cos(t)² x = | t * cos(t)² //Mark: | is the integral sign x = t * sin(t)² Is this it? No need to derive "T" at all?
Short question about diff Eq. x' = t * cos(t)² Hello, it is me again. Solving the equation: x' = t * cos(t)² x = | t * cos(t)² //Mark: | is the integral sign x = t * sin(t)² Is this it? No need to derive "T" at all?
A arthur ohlsten Full Member Joined Feb 20, 2005 Messages 847 Apr 2, 2010 #2 Re: Short question about diff Eq. x' = t * cos(t)² dx/dt= t cos t^2 dx/dt = cos t^2 [t] let u=t^2 then du=2t dx/dt=[cos u *1/2[2t] dx/dt=1/2 cos u du x= 1/2 sin u x=1/2 sin t^2 + C answer Arthur
Re: Short question about diff Eq. x' = t * cos(t)² dx/dt= t cos t^2 dx/dt = cos t^2 [t] let u=t^2 then du=2t dx/dt=[cos u *1/2[2t] dx/dt=1/2 cos u du x= 1/2 sin u x=1/2 sin t^2 + C answer Arthur
M ManyTimes New member Joined Feb 8, 2010 Messages 14 Apr 2, 2010 #3 Re: Short question about diff Eq. x' = t * cos(t)² Thanks, so in short; had to derive (derivation) T... Alright.
Re: Short question about diff Eq. x' = t * cos(t)² Thanks, so in short; had to derive (derivation) T... Alright.
