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2 years ago

3х - бу = -24how do I get the x and y intercepts?

Mathematics

1 answer:

svetoff [14.1K]2 years ago

6 0

Answer:

x (8, 0) y (0, -4) I think

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Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

Putting the value of y, y' and y'' in left side of the differential equation

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

2 years ago

Plz help, it is mathswatch

nasty-shy [4]

Answer:

2000 x 0.03 = 60

2000 + 60 = 2060

2060 x 0.03 = 61.8

2060 + 61.8 = 2121.8

Step-by-step explanation:

6 0

3 years ago

Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have? Please answer!!

timama [110]

Hi, there

<u>Question:Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?</u>

Explanation:

1.65 x 21

Answer 34.65

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3 years ago

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Mrs. Hanson has a potato salad recipe that calls for 238 pounds of potatoes, but she wants to make 112 times as much as the reci

MrRa [10]

Answer:

3 9/16 lbs

Step-by-step explanation:

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2 years ago

The pie below is cut into 6 equal slices. Show shade 2/3 of this pie.

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Shade 4 slices out of the pie

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3х - бу = -24how do I get the x and y intercepts?​

3х - бу = -24how do I get the x and y intercepts?