First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
I hope this helps!!!
1.C
2.A
3.B
4.D
Answer:
≈ 9.6 units
Step-by-step explanation:
<em>Refer to attachment</em>
The diagonal d is the hypotenuse of right triangle with sides of 5 and a
The line a is the hypotenuse of the right triangle with the sides of 2 and 8.
<u>So, as per Pythagorean theorem:</u>
- d² = 5² + a²
- d²= 5² + 2²+ 8² = 25 + 4 + 64 = 93
- d² = 93
- d = √93
- d ≈ 9.6 units (rounded to the nearest tenth)