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olganol [36]
2 years ago
13

In each of problems 5 through 11, find the general solution of the given differential equation

Mathematics
1 answer:
Brrunno [24]2 years ago
7 0

The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function y(t)=e^t  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

<h3>What is a function?</h3>

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

y_1(t) = e^t

Given differential equations are,

y''-y = 0

 So that,  

y' (t) = e^t, y'' (t) = e^t

Substitute values in the given differential equation.

e^t -e^t=0

                   

Therefore, the function y(t)=e^t  is the solution of the given differential equation.

Another function;

y(t)=cosht  

So that,  

y"(t)=sinht\\\\y"(t)=cosht

Hence, function y(t)=cosht is solution of given differential equation.

Learn more about function here:

brainly.com/question/2253924

#SPJ1

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olya-2409 [2.1K]

Answer:

x=7

y=2

Step-by-step explanation:

10 + 2x = -2y ➡y = -5-x

replace y with -5-x in the first equation

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now use this information to find value of y

y - (-7)=9 ➡y = 2

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3 years ago
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AleksAgata [21]
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Help me solve this problem please
lilavasa [31]
Her mother did not gave her enough money.
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if the heart of an elephant , at rest beat an average of 1680 beats in 60 min . What is the rate in beats per minute
Tresset [83]
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x beats -------------- 1 min. 
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hope helped 
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Answer:

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Step-by-step explanation:

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