A simple math sum.

[Nerusy]

If you want something challenging then give me Definitive Solution for:

y''+0.5y'+37/36y=37/35

You can also give a plot of the equation y(t) against t

 

[UncleRuckus]

y + 0.5y + 37/36y = 37/35

multiply by 36: 36y + 18y + 36y = 1332 / 35

simplify: 90y = 1332 / 35

multiply by 35: 3150y = 1332

divide by 3150: y = 74 / 175

The solution is y = 74 / 175 ?

 

[Nerusy]

y + 0.5y + 37/36y = 37/35

multiply by 36: 36y + 18y + 36y = 1332 / 35

simplify: 90y = 1332 / 35

multiply by 35: 3150y = 1332

divide by 3150: y = 74 / 175

The solution is y = 74 / 175 ?

y' = first derivative of y

y'' = second derivative of y

y =/= y' =/= y''

Edit: although party what we are looking for is y = y' = y' ie steady state

ah anyways the Definitive solution is:

y(t) = e^(-0.25t)[0.5429cos(3t/2) + 0.7571sin(3t/2)] + 16/35

 

[troops]

Ive got headache

 

[ants83]

Bidmas? What the hell is this ? Way to geeky. I think it's made up

 

[UncleRuckus]

y' = first derivative of y

y'' = second derivative of y

y =/= y' =/= y''

Edit: although party what we are looking for is y = y' = y' ie steady state

ah anyways the Definitive solution is:

y(t) = e^(-0.25)[0.5429cos(3t/2) + 0.7571sin(3t/2)] + 16/35

Ah okay, I'll maybe give this another go when I have covered it in my Maths module!

 

[dodgem]

6-0+1 = ?

6+1 -0 = 7

1+6-0 = 7

(6-0)+1 = 7

6-(0+1) = 7

1x (6-0+1) = 7

Your 5th sum is incorrect, that answer is 5.

 

[Destination]

But if you use BIDMAS surely you do the addition first? Hence 5?

You added brackets to get the answer five, so its a different question to the one without brackets.