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solve the differential equation dy/dx=(3x*exp(4y))/(7+(2x^(2))^(2) when y = 0, x = 2

Move y terms to the left hand side and the keep the x terms on the right hand side: dy*(1/(exp(4y))) = dx*(3x/(7+2x^(2))^(2)) First, solve the right hand side by using a substition: u = 7 + 2 x^(2), du/dx=4x...
Answered by • Maths tutor
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Differentiate the equation 4x^5 + 2x^3 - x + 2

When you differentiate you find the equation which lets you find the gradient of the equation at a specific point.To do so you multiply the power of the x by the respective coefficient, then that becomes the...
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What does the Price Elasticity of Demand measure? How is it calculated? And why is it important?

Price Elasticity of Demand measures the responsiveness of quantity demanded by consumers after a change in price of the product. At A-Level this is measured via two points on the demand curve A and B. The pe...
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Answered by Remi C. • Economics tutor
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Can you explain the importance of the refractory period within the axon?

The refractory period means that another action potential cannot be generated.This is important as it allows the action potential to not propagate back but reset via the sodium-potassium pump, to restore res...
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Answered by Eve L. • Biology tutor
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Give examples of some factors that increase the rate of diffusion.

Temperature: An increase in temperature increases diffusion rate. Concentration gradient (difference in concentration): A greater concentration gradient increases diffusion rate. Surface area of a membrane: ...
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Answered by Miya A. • Biology tutor
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