3 years ago

Hi so idk what 4×4×7×2×0×9 is

Mathematics

1 answer:

professor190 [17]3 years ago

3 0

The answer is 0! Hope this helps!!! :)

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First-order linear differential equations

kkurt [141]

Answer:

$(1)\ logy\ =\ -sint\ +\ c$

$(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Step-by-step explanation:

1. Given differential equation is

$\dfrac{dy}{dt}+ycost = 0$

$=>\ \dfrac{dy}{dt}\ =\ -ycost$

$=>\ \dfrac{dy}{y}\ =\ -cost dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}$

$=>\ logy\ =\ -sint\ +\ c$

Hence, the solution of given differential equation can be given by

$logy\ =\ -sint\ +\ c.$

2. Given differential equation,

$\dfrac{dy}{dt}\ -\ 2ty\ =\ t$

$=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty$

$=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})$

$=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}$

$=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c$

$=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Hence, the solution of given differential equation is

$log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

8 0

4 years ago

Three of the angles of a quadrilateral are 120 48 and 92 what is the size of the 4th angle

IgorLugansk [536]

You do 120+48+92=280 All angles in a quadrilateral add up to 360, so 360-280=80 The answer is 80 HAVE FUN DOING MATHS!

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3 years ago

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Mitchell earns $40 for mowing the lawn. He spends $5 on ice cream and $15 on a book. Write an equation for how much money Mitche

tangare [24]

He has a total of 40

$40-$5-$15=$20

he has a total of $20 left

mark brainliest

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3 years ago

What do I get when I round 17,061 nearest 10th

Andrew [12]

The only way to do this is when there is a decimal.

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Today the temperature is 0 degrees Fahrenheit. The temperature rose

VladimirAG [237]

Answer: -11 degrees Fahrenheit

Step-by-step explanation:

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3 years ago

Hi so idk what 4×4×7×2×0×9 is ​

Hi so idk what 4×4×7×2×0×9 is