Solve the following ode's: c) y* - 9y' + 18y = t^2

y = +

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. =

now calculating P.I.

hence the complete solution

y = C.F. + P.I.

y = +

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.