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solve the differential equation dy/dx = 6xy^2 given that y = 1 when x = 2

First step is to seperate the variables (EQ1) : (1/y^2) dy = 6x   Then we integrate each side seperately giving us (EQ2) : -1/y = 3x^2 + C (remembering to add 1 to the power and divide by the new power) s...

DM
Answered by Dylan M. Maths tutor
9275 Views

How would you determine what sort of stationary point this curve has? x^3 - 6x^2 + 9x - 4

I would differentiate it and then turn it into an equation to find the points where the gradient equals zero. With these points at hand, I would take a second derivative, this tells me how the gradient ch...

WM
Answered by William M. Maths tutor
4910 Views

To what extent are modern prime ministers now presidents in all but name?

Intro- Bit of context and mention the points on either side of the argument that you are going to talk about. Yes- Personal leadership over collective leadership- To bypass opinions of full cabinet and co...

TA
Answered by Tim A. Politics tutor
10383 Views

How could you assess the ability for a business to pay for its liabilities?

We could assess the ability of a business to pay its liabilities using two ratios.  Firstly, we could use the current ratio, which is calculated by dividing current assets by current liabilities (Found in...

GP
2324 Views

When using the method of partial fractions how do you choose what type of numerator to use and how do you know how many partial fractions there are?

There are as many fractions as there are factors of the denomenator.  If the denomenator of one of the partial fractions is linear then the numerator is a constant. If the denomenator is a linear term squ...

CM
2350 Views

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