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andre [41]
3 years ago
6

Solve the differential equation x^3y"'− 3x^2 y" 6xy'−6y = 0.

Mathematics
1 answer:
Anna [14]3 years ago
3 0
<span>Equation at the end of step  1  :</span><span> (((x3)•y)-(((3x2•y6)•x)•y))-6y = 0 </span><span>Step  2  :</span><span>Step  3  :</span>Pulling out like terms :

<span> 3.1 </span>    Pull out like factors :

  <span> -3x3y7 + x3y - 6y</span>  =  <span> -y • (3x3y6 - x3 + 6)</span> 

Trying to factor a multi variable polynomial :

<span> 3.2 </span>   Factoring   <span> 3x3y6 - x3 + 6</span> 

Try to factor this multi-variable trinomial using trial and error<span> 

 </span>Factorization fails

<span>Equation at the end of step  3  :</span><span> -y • (3x3y6 - x3 + 6) = 0 </span><span>Step  4  :</span>Theory - Roots of a product :

<span> 4.1 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

 </span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    -y = 0<span> 

 </span>Multiply both sides of the equation by (-1) :  y = 0 

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The inequality 6-2/3
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16 over 3 is the answer u write the numerator above the denominator 6 over 1 minus 2 over 3 6 times 3 over 1 x3 minus 2 over 3 u get 18 minus 2 over 3 and subtract 18 and 2 u get 16 over 3

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Please help my 10 year old nephew...
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After, thorough research I believe that there are 265 pine trees and 0 elm trees since decidous and semi-decidous do not grow near conifers.

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3 years ago
Solve 37+z≤54. Graph the solution.
iragen [17]

Answer:

z ≤ 17

Step-by-step explanation:

Step 1: Subtract 37 from both sides.

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2 years ago
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50 – 5(4.3 – 1.3) ÷ 0.5
marissa [1.9K]

Answer:

(0.5, 1.3)(0.5, 1.3)

Step-by-step explanation:

Given equations are:

As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.

We can plot the graph of both equations using any online or desktop graphing tool.

We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)

We can see from the graph that the lines intersect at: (0.517, 1.267)

Rounding off both coordinates of point of intersection to nearest tenth we get

(0.5, 1.3)

Hence,

(0.5, 1.3) is the correct answer

Keywords: Linear equations, variables

4 0
3 years ago
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32 is very much need to be answered
vova2212 [387]

Question 32):  

<u>Least To Greatest:</u>

-7/2,    -2.8,   -5/4,  4/3,  1.3

<u>Number of Inputs:   </u>

<u>5</u>

<u>Ascending Order (Least to Greatest)/Smallest to Largest:  </u>

-7/2,    -2.8,   -5/4,  1.3,  4/3

 

<u>Descending Order (Greatest to Least/Largest to Smallest):</u>

4/3, 1.3, -5/4, -2.8, -7/2





Hope that helps!!!                                         : )



3 0
3 years ago
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