Let Q1=y(1.1), Q2=y(1.2), Q3=y(1.3), where y=y(x) solves...
1) y'''+2y''-5y'- 6y=4x^2 where y(0)=1, y'(0)=2, y''(0)=3
2) y'''- 6y''+11y'- 6y=6e^(4x) where y(0)=4, y'(0)=10,
y''(0)=30
3) y''- 6y'+9y=4e^(3x) ln(x) where y(1)=, y'(1)=2
Please show all steps and thank you!!!
d^2y/dx^2 − dy/dx − 3/4 y = 0,
y(0) = 1, dy/dx(0) = 0,
Convert the initial value problem into a set of two coupled
first-order initial value problems
and find the exact solution to the differential equatiion