Answer:
a.
b.
Step-by-step explanation:
We have a differential equation
y''-2 y'-35 y=0
Auxillary equation
By factorization method we are finding the solution
Substitute each factor equal to zero
D-7=0 and D+5=0
D=7 and D=-5
Therefore ,
General solution is
Let
We have to find Wronskian
Substitute values then we get
a.
We are given that y(0)=-7 and y'(0)=23
Substitute the value in general solution the we get
....(equation I)
......(equation II)
Equation I is multiply by 5 then we subtract equation II from equation I
Using elimination method we eliminate
Then we get
Substitute the value of in I equation then we get
Hence, the general solution is
b.
10.50 x 0.2 = $2.10
Therefore, 20% of $10.50 is $2.10
With 20% off, the book will cost
10.50-2.10 = $8.40
90,000. In 89,891, the 8 farthest to the left is in the place you want to round, and the 9 right next to it tells you the 8 needs to round up
Yes it’s a straight line wh no curves
Answer:
827.5( to four significant figures)