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svetoff [14.1K]
3 years ago
5

How can you get coefficients that are equal for X? 3x + 2y = 12 6x + 3y = 21

Mathematics
1 answer:
Verizon [17]3 years ago
5 0

Step-by-step explanation:

To make the coefficient of x equal we can multiply both sides of (1) by 2. the answer is B

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Given: y" - 2y' = 6t + 5e^2t. Find the correct form to use for y_p if the equation is solved using Undetermined coefficients. Do
const2013 [10]

Answer:

y_p=A+Bt+Ce^{2t}

Step-by-step explanation:

Given: y'' - 2y' = 6t + 5e^{2t}.

we need to find the correct form for y_p if the equation is solve using undetermined coefficients.

A first order differential equation \frac{\mathrm{d} y}{\mathrm{d} x}=f\left ( x,y \right ) is said to be homogeneous if f(tx,ty)=f(x,y) for all t.

Consider homogeneous equation y''-2y'=0

Let y=e^{rt} be the solution .

We get (r^2-2r)e^{rt}=0

Since e^{rt}\neq 0, r^2-2r=0.

So, we get solution as y_c=c_1+c_2e^{2t}

As constant term and e^{2t} are already in the R.H.S of equation

y" - 2y' = 6t + 5e^{2t}, we can take y_p as y_p=A+Bt+Ce^{2t}

6 0
3 years ago
Identify the domain of the graph.
Viktor [21]

Answer:

Domain is 0 to 50.

Step-by-step explanation:

0 \leq  x \leq  50

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3 years ago
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Ali's dog weighs 8 times as much as her cat. Together the two pets weigh 54 pounds. How much does Ali's dog weigh?
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The answer for the completion exercise shown in the image attached above is:
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3 0
3 years ago
Read 2 more answers
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