Step-by-step explanation:
Let y1 and y2 be (e^x)/2, and (xe^x)/2 respectively.
The Wronskian of them functions be
W = (y1y2' - y1'y2)
y1 = (e^x)/2 = y1'
y2 = (xe^x)/2
y2' = (1/2)(x + 1)e^x
W = (1/4)(x + 1)e^(2x) - (1/4)xe^(2x)
= (1/4)(x + 1 - x)e^(2x)
W = (1/4)e^(2x)
Since the Wronskian ≠ 0, we conclude that functions are linearly independent, and hence, form a set of fundamental solutions.
Answer:
w=14
Step-by-step explanation:
Let's solve your equation step-by-step.
710−35w=570−25w
Step 1: Simplify both sides of the equation.
710−35w=570−25w
710+−35w=570+−25w
−35w+710=−25w+570
Step 2: Add 25w to both sides.
−35w+710+25w=−25w+570+25w
−10w+710=570
Step 3: Subtract 710 from both sides.
−10w+710−710=570−710
−10w=−140
Step 4: Divide both sides by -10.
−10w
−10
=
−140
−10
w=14
Answer:
x=10
Step-by-step explanation:
8x+10=6x+30
8x-6x=30-10
2x=20
x=10
Answer:
Step-by-step explanation:
m=7
So by using point slope form
y-y1=m(x-x1)
y-(-2)=7(x-7)
y+2=7x-49
y-7x+51=0
<h2>(THIS ANSWER WAS DELTED FROM BRAINLY.COM)</h2><h2 /><h3>Stated by Brainly Headquarters inc.</h3><h3>2-19-21</h3>