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3 years ago

What is x? 4x-7= -3x

Mathematics

2 answers:

Oksana_A [137]3 years ago

7 0

4x-7=-3x
4x+3x=7
7x=7
x=7/7
x=1

Ede4ka [16]3 years ago

3 0

X=7
distribute the equation

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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

3 (x -1) = 5x +3 -2x

Vika [28.1K]

Steps to solve:

3(x - 1) = 5x + 3 - 2x

~Distribute left side

3x - 3 = 5x + 3 - 2x

~Combine like terms

3x - 3 = 3x - 3

~Subtract 3x to both sides

-3 = -3

~Add 3 to both sides

0 = 0

All real numbers are solutions.

Best of Luck!

6 0

3 years ago

Jose bought 1.5 pounds of apples for $3.60. How much would 34 of a pound of apples cost?

uysha [10]

122.4$ hope it helps !!!

6 0

3 years ago

Read 2 more answers

Free plonts have a good day god loves u

lisov135 [29]

Answer:

God bless you too. hope your having a wonderful day.

7 0

3 years ago

Find the volume <br> thank you for the help

Sergeeva-Olga [200]

Answer:

all you need to do is multiply length times width times height.

Step-by-step explanation:

5 1/2 x 3= 16.5

16.5 x 2 1/4= 453.75

now just add both answers :)

I really hope this helps! <3 Good luck!

3 0

2 years ago