Homework Statement
I already got Q(s)=150/(s(s^2+20s+200)), then i complete the square on the quadratic.
I got Q(s)=150/(s((s+10)^2+10^2))). But then i cant find the Q(t) because the equation (s+10)^2+10^2=0 dosent have roots. Or i have to use complex numbers ? So I am confused.
Homework...
Homework Statement
Find the general solution of: dy/dx=lnx/(xy+xy^3)
Homework Equations
The Attempt at a Solution
In order to find the general solution, i rerrange the equation to:(y+y^3)dy=(lnx/x)dx,
then int(y+y^3)dy=int(lnx/x)dx, then i got 2(lnx)^2=2y^2+y^4. then i rerange y...
Hi uart
Thanks for the reply. Yeah, that was a typo. It should be 2x^2 as you assumed.
what do u mean by using product rule to find f' ?
f'(x)=xsin(x^2), then using product rule to find f''(x)=sin(x^2) + 2x^2 cos(x^2).
Could you please show me how to find f'(x)? I am a bit confused.
thanks
Homework Statement
Let f (x) =int(x,0) x sin(t^2)dt. Show that f''(x)= 2 sin(x^2) + 2x2 cos(x^2)
Homework Equations
The Attempt at a Solution
I cant get f''(x)= 2 sin(x^2) + 2x2 cos(x^2), i can only get f''(x)= sin(x^2) + 2x2 cos(x^2).
Because f'(x)=xsin(x^2). can anyone see...