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2 years ago

Sally is 10 years old. Her mother is five times older. How old Sally's mom?

1 answer:

8 0

Sally is 10 years old. <span>Her mother is five times older. </span>If this is put into an equation: x = (age of sally)(5)
x = (10)(5)
x = 50 years
Sally's mom is 50 years old.

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3 years ago

Read 2 more answers

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Simran's Journey was 35 minutes less on Thursday as compared to Wednesday

<h3>What is a Distance - Time Graph ?</h3>

Distance Time graph is the relationship between the distance travelled in the respective time on the x axis.

Two distance time graph is given

The Wednesday graph shows the time taken by Simran is

Total Time = 40 minutes

and

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To know more about Distance - Time Graph

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1 year ago

Plot the image of point Q under a reflection across the -axis.

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3 years ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
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Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

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(See "Euler-Cauchy equation" for more info)

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3 years ago