Mister Exam

Differential equation d2y/dx2-8dy/dx+15y=0

The teacher will be very surprised to see your correct solution 😉

Find the general solution to y" – 8 y' + 15 y=0.
2nd order Homogeneous DE.
Solving Quadratically
k² - 8k + 15 = 0
k= 5 or k= 3.
Two real and Unequal roots.
y= Ae^5x + Be^3x.

v

For Cauchy problem:

y() =
y'() =
y''() =
y'''() =
y''''() =

The graph:

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