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3 years ago

Robbie had p coins. Then he found 59 more coins in a drawer. Choose the expression that shows how many coins Robbie has now.

Mathematics

1 answer:

attashe74 [19]3 years ago

3 0

Answer:

y=p+59

Step-by-step explanation:

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Find a particular solution to the nonhomogeneous differential equation y??+4y?+5y=?10x+e^(?x).

Firdavs [7]

Answer:

A) Particular solution:

$2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

B) Homogeneous solution:

$y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))$

C) The most general solution is

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

Step-by-step explanation:

Given non homogeneous ODE is

$y''+4y'+5y=10x+e^{-x}---(1)$

To find homogeneous solution:

$D^{2}+4D+5=0\\D^{2}+4D+4-4+5=0\\\\(D+2)^{2}=-1\\D+2=\pm iD=-2 \pm i\\y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))---(2)$

To find particular solution:

$y_{p}=Ax+B+Ce^{-x}\\\\y'_{p}=A-Ce^{-x}\\y''_{p}=Ce^{-x}\\$

Substituting $y_{p},y'_{p},y''_{p}$ in (1)

$y''_{p}+4y'_{p}+5y_{p}=10x+e^{-x}\\Ce^{-x}+4(A-Ce^{-x})+5(Ax+B+Ce^{-x})=10x+e^{-x}\\$

Equating the coefficients

$5Ax+2Ce^{-x}+4A+5B=10x+e^{-x}\\5A=10\\A=2\\4A+5B=0\\B=-\frac{4A}{5}B=-\frac{8}{5}2C=1\\C=\frac{1}{2}\\So,\\y_{p}=2x+\frac{1}{2}e^{-x}-\frac{8}{5}---(3)\\$

The general solution is

$y=y_{h}+y_{p}$

from (2) ad (3)

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

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guapka [62]

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3 years ago

A . What is the slope in the line of the graph ?

vampirchik [111]

Answer:

0.2x+3

Step-by-step explanation:

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3 years ago

Pls help for 27b!!!!!!!

rodikova [14]

Step-by-step explanation:

$\beta$

is a root of the quadratic

$4 {x}^{2} - 10x + 5$

This quadratic isn't factorable so use the quadratic formula

$- b + - \sqrt{ \frac{b {}^{2} - 4ac }{2a} }$

The plus and minus sign after b means we going to have two roots.

The roots are

$\frac{5 + \sqrt{5} }{4}$

and

$\frac{5 - \sqrt{5} }{4}$

We subsitue those values for Beta.

27a.

$\frac{5}{2}$

27b.

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2 years ago

How do you simplify the expression 7 - 2(2 + 5) -8?

krek1111 [17]

7 - 2 (7) -8
7 - 14 - 8
7-14= -7
-7 - 8 = - 15
May have messed this one up

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3 years ago

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