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frozen [14]
2 years ago
14

-7x/6=-2x/1 Solve for X

Mathematics
1 answer:
Fittoniya [83]2 years ago
4 0
Answer: x=0


Ok ok ok ok
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Solve the following initial-value problem, showing all work, including a clear general solution as well as the particular soluti
Vikki [24]

Answer:

General Solution is y=x^{3}+cx^{2} and the particular solution is  y=x^{3}-\frac{1}{2}x^{2}

Step-by-step explanation:

x\frac{\mathrm{dy} }{\mathrm{d} x}=x^{3}+3y\\\\Rearranging \\\\x\frac{\mathrm{dy} }{\mathrm{d} x}-3y=x^{3}\\\\\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{3y}{x}=x^{2}

This is a linear diffrential equation of type

\frac{\mathrm{d} y}{\mathrm{d} x}+p(x)y=q(x)..................(i)

here p(x)=\frac{-2}{x}

q(x)=x^{2}

The solution of equation i is given by

y\times e^{\int p(x)dx}=\int  e^{\int p(x)dx}\times q(x)dx

we have e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}

Thus the solution becomes

\tfrac{y}{x^{2}}=\int \frac{1}{x^{2}}\times x^{2}dx\\\\\tfrac{y}{x^{2}}=\int 1dx\\\\\tfrac{y}{x^{2}}=x+cy=x^{3}+cx^{2

This is the general solution now to find the particular solution we put value of x=2 for which y=6

we have 6=8+4c

Thus solving for c we get c = -1/2

Thus particular solution becomes

y=x^{3}-\frac{1}{2}x^{2}

5 0
4 years ago
What's 3/6-4/6 and simply your answer
Yuri [45]
Your answer would be -1/6
8 0
3 years ago
1. Two dice are thrown at the same time . What is the probability that the sum will be 7 or 11 ?
netineya [11]

Answer:

1. 0.2222222

2. .6667

Step-by-step explanation:

for question 1

there can only be 36 outcomes so you find out how many time you could get 7and2 which is 8 from so u write 8.36=.2222

for question 2

divide the outcome by the total out comes example(there are 6 red balls and 4 white out of 15 so you do 10/15=.6667)

8 0
3 years ago
Read 2 more answers
1 1/5 to the power of 3-1
Angelina_Jolie [31]
This is 6/5 to the 2 (6/5 squared). 36/25 is the answer
4 0
4 years ago
How many solutions are there to the equation
GREYUIT [131]

Answer:B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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