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Mekhanik [1.2K]
3 years ago
13

Solve the nonhomogeneous differential equation y′′+6y′−16y=e5x. Find the most general solution to the associated homogeneous dif

ferential equation. Use c1 and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2. yc= c1e^(-8x)+c2e^(2x) help (formulas) Using the Method of Undetermined Coefficients, give the form of a particular solution needed to solve this differential equation. Use capital letters A, B, C, etc. for the unknown coefficients, starting with A. yp= Ae^(5x) help (formulas) Find a particular solution to this nonhomogeneous differential equation. yp= 1/39e^(5x) help (formulas) Find the most general solution to the original nonhomogeneous differential equation. Use c1 and c2 in your answer to denote arbitrary constants. y= c1e^(-8x)+c2e^(2x)+1/39e^(5x) help (formulas) Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0)=−2 and y′(0)=2. y= -17/78e^(-8x)+141/78e^(2x)+1/39e^(5x) help (formulas)
Mathematics
1 answer:
NeTakaya3 years ago
5 0
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Hunter-Best [27]

Answer:

$2,851.80

Step-by-step explanation:

Lets use the compound interest formula to solve:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

First, change 1.1% into a decimal:

1.1% -> \frac{1.1}{100} -> 0.011

Next, plug the values into the equation:

A=2,700(1+\frac{0.011}{1})^{1(5)}

A=2,851.80

She will have $2,851.80 after 5 years.

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3 years ago
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Keith_Richards [23]

For this case we must resolve the following inequality:

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Adding 7 to both sides of the inequality:

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x

Thus, the solution is given by all the values of "x" less than -5.

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3 years ago
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san4es73 [151]

Answer:

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Step-by-step explanation:

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Len [333]

Answer:

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Step-by-step explanation:

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Y= -1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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