- #1

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## Homework Statement

## Homework Equations

n/a

## The Attempt at a Solution

##y'=f(x.y)## is a function of two variables. ##y=y(x)## is a function of only one variable. How can they be related? Clearly ##y(x) = f(x) \neq f(x,y)##

Thanks

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- Thread starter Calpalned
- Start date

- #1

- 297

- 6

n/a

##y'=f(x.y)## is a function of two variables. ##y=y(x)## is a function of only one variable. How can they be related? Clearly ##y(x) = f(x) \neq f(x,y)##

Thanks

- #2

- 297

- 6

Perhaps ##f(x) \neq y(x)##

- #3

Mark44

Mentor

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The right side of the differential equation y' = f(x, y) involves expressions in both x and y. For example, something like y' = 2x + 3y. Here f is a function that maps a pair of numbers (x, y) to 2x + 3y.## Homework Statement

View attachment 90522

## Homework Equations

n/a

## The Attempt at a Solution

##y'=f(x.y)## is a function of two variables. ##y=y(x)## is a function of only one variable. How can they be related? Clearly ##y(x) = f(x) \neq f(x,y)##

Thanks

We generally assume that y is related to x in some way.

Correct.Perhaps ##f(x) \neq y(x)##

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