How to you find the general solution of #dy/dx=xe^(x^2)#?

Answer 1

# y = 1/2e^(x^2) + c #

This is a First Order Separable DE, so we can just separate the variable in it's current form to give;

# int dy = int xe^(x^2) dx #

And note we can re-write as:

# int dy = 1/2int 2xe^(x^2) dx #

So we can integrate to give:

# y = 1/2e^(x^2) + c #
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Answer 2

To find the general solution of ( \frac{dy}{dx} = xe^{x^2} ), you can separate variables and integrate both sides with respect to ( x ). After integration, you'll have an expression for ( y ) in terms of ( x ) and a constant of integration, ( C ), which accounts for the family of solutions.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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