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Nookie1986 [14]
3 years ago
12

What is 9x-5x ????i need help

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Hi there!

Answer:

<u><em>=4x</em></u>

Step-by-step explanation:

Distributive property: ⇒ a(b+c)=ab+ac

You had to add similar elements.

9x-5x=4x

5x+4x=9x

9x-4x=5x

final answer: =4x

Hope this helps!

-Charlie

Have a great day!

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Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview
svetlana [45]

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Step-by-step explanation:   We are given to solve the following differential equation :

y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)

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y=e^{mt} be an auxiliary solution of equation (i).

Then, we have

y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.

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m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.

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y(0)=-2\\\\\Rightarrow A=-2

and

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Thus, the required solution is

y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.

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