Nawaachia Homework wale wa mambo yetu yaleee back in days (still got it?).....!!!!!

Nawaachia Homework wale wa mambo yetu yaleee back in days (still got it?).....!!!!!

Hii kitu nyepesi sana hasa ukiwa na stimu kichwani...
 
Subiri ntafute kalamu na karatasi....
Alafu majibu unayajua lakini isijekua wajifanya ticha apa kumbe mahesabu yenyewe huna😛😛😛😛
 
Hivyo ni vitu gani kwanza??!!utadhani kuku karukaruka kwenye karatasi vile...
 

Question:
Show that


y=c1sin2x+3cos2x
is a general solution for the differential equation


d2y/dx2+4y=0

Solution:

We have a second order differential equation and we have been given the general solution. Our job is to show that the solution is correct.


We do this by substituting the answer into the original 2nd order differential equation.


We need to find the second derivative of y:


y = c1 sin 2x + 3 cos 2x


First derivative:


dy/dx=2c1 cos 2x−6 sin 2x
Second derivative:


d2y/dx2=−4c1 sin 2x−12 cos 2x
Now for the check step:


LHS=d2y/dx2+4y=[−4c1sin 2x−12 cos 2x]+4(c1sin 2x+3 cos 2x)=0=RHS
 
Subiri ntafute kalamu na karatasi....
Alafu majibu unayajua lakini isijekua wajifanya ticha apa kumbe mahesabu yenyewe huna😛😛😛😛
hahaha mi mwenyewe kilaza, lol! af mpe sister hongera jamani!
 
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