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2 years ago

I keep getting D wrong

Mathematics

1 answer:

blondinia [14]2 years ago

3 0

Yeah d is wrong

:((( don’t know what it is supposed to be.

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Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0

lilavasa [31]

Answer:

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

Step-by-step explanation:

Let, $D=\frac{d}{dx}$

Now, us simplify the given differential equation and write it in terms of D,

$36y''-48y'-48y=0$

or, $3y''-4y'-4y=0$

or, $(3D^2-4D-4)y=0$

We have our auxiliary equation:

$3D^2-4D-4=0$

or, $(3D+2)(D-2)=0$

or, $D=2, - \frac{2}{3}$

Therefore our solution is,

$y=Ae^{2x}+Be^{- \frac{2}{3}x}$

and, $y'=2Ae^{2x}-\frac{2}{3}Be^{\frac{2}{3}x }$

Applying the boundary conditions, we get,

$A+B=1$

$2A-\frac{2}{3}B=0$

Solving them gives us,

$A=\frac{1}{4} ,B=\frac{3}{4}$

Hence,

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

4 0

3 years ago

How to write 85,000,011 in expanded form

4vir4ik [10]

85,000,000 + 000,000 + 000 + 11

I'm not sure if this is right because I haven't done expanded form in years. If it isn't, I'm sorry.

6 0

3 years ago

Solve for x: 4x^2 + 2(2x + 2)^2 = 100

balu736 [363]

Would it be 4(1)^2+2(2(1)+2)^2=100

8 0

3 years ago

Read 2 more answers

Solve Y+3/5 = 1 1/10

lesya [120]

Answer:

y = 1/2

Step-by-step explanation:

Y+3/5 = 1 1/10

Subtract 3/5 from both sides.

y = 1/2

3 0

2 years ago

Uber is now charging a $2.50 flat rate in addition to $0.75 per mile for your ride. Janae can spend at most $13 on her Uber Ride

Alex777 [14]

Answer:

B: 10

Step-by-step explanation:

<u>Full charge can be expressed as equation:</u>

c = 2.5 + 0.75m, where c- charge, m- miles

<u>The limit for charge is $13, then we got inequality:</u>

0.75m + 2.5 ≤ 13
0.75m ≤ 9.5
m ≤ 9.5/0.75
m ≤ 12.66

Option B: 10 is correct as the only number satisfying the inequality

7 0

3 years ago

Read 2 more answers