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3 years ago

What is the solution to 1/3(s-2)=s+4

1 answer:

8 0

$\frac{1}{3} * (s-2)=s+4 \\ \\ \frac{s-2}{3}=s+4 \\ \\ s-2=3(s+4) \\ \\ s-2= 3s+12 \\ \\ s-3s=12+2 \\ \\ -2s= 14 \\ \\ \boxed{s= -\frac{14}{2}=-7}}$

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3 years ago

Solve the following initial-value problem:<br><br> (ex+y)dx+(3+x+yey)dy=0, y(0)=1<br><br> 0=

alex41 [277]

Answer:

$e^x+xy+3y+(y-1)e^y=4$

Step-by-step explanation:

Given that

$(e^x+y)dx+(3+x+ye^y)dy=0$

Here

$M=e^x+y$

$N=3+x+ye^y$

We know that

M dx + N dy=0 will be exact if

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$

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$\frac{\partial N}{\partial x}=1$

it means that this is a exact equation.

$\int d\left(e^x+xy+3y+(y-1)e^y\right)=0$

Noe by integrating above equation

$e^x+xy+3y+(y-1)e^y=C$

Given that

x= 0 then y= 1

$e^0+0+3+(1-1)e^1=C$

C=4

So the our final equation will be

$e^x+xy+3y+(y-1)e^y=4$

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3 years ago

Replace variables with values and

enyata [817]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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The correct answer is 541.2 to be exact

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3 years ago