How to you find the general solution of #dy/dx=xe^(x^2)#?
# 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;
And note we can re-write as:
So we can integrate to give:
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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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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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