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Solve the second order differential equation d^2y/dx^2 - 4dy/dx + 5y = 15cos(x), given that when x = 0, y = 1 and when x = 0, dy/dx = 0

As we know, a general solution for a given differential equation is the complimentary solution + the particular solution/integral, this case is no different. To solve for the complimentary solution, form ...

Answered by Aryan G. • Further Mathematics tutor

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Describe the reflex arc in response to the hand touching a burning hot stove. Include the names and a description of location and function of all neurons involved. Bullet points are sufficient.

All bold text gives marking pointsStimulus (burning hot stove)Receptor (thermoreceptor in skin) detects stimulusSensory neurone - relays...

Answered by Jonathan V. • Biology tutor

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LOWER TIER a) Multiply the following out: (x+3)(x-4). b) Factorise the following equation into two bracket form: x^2+7x+12

a) Use FOIL to multiply out these bracketsF: x²O: -4xI: +3xL: -12 x²-4x+3x-12 = x²-x-12b) Find two common numbers that ADD UP to give +7, and MULTIPLY TOGETHER to give 12<...

Answered by Jonathan V. • Maths tutor

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HIGHER TIER a) Factorise the following equation into two bracket form: 2x^2-5x-12. b)2x^2-5x-12=0. Solve this equation to find the values of x, using your answer to part a). BONUS c) Sketch the function y=2x^2-5x-12, showing any x intercepts

a) Find two common numbers that ADD UP to give -5, and MULTIPLY TOGETHER to give (2*-12=) -24MULTIPLY TO -24 -1 and 24 1 and -24 -2 and 12 2 and -12 3 and -8 -3 and...

Answered by Jonathan V. • Maths tutor

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Solve the equation ((2x+3)/(x-4)) - ((2x-8)/(2x+1)) = 1. Give your answer to 2 decimal places.

Multiply both sides of the equation by the denominators to get:(2x+3)(2x+1) - (2x-8)(x-4) = (x-4)(2x+1)Expand all the brackets to get:(4x^2 + 6x + 2x + 3) - (2x^2-8x-8x+32) = 2x^2-8x+x-4Simplify both side...

Answered by Natalie S. • Maths tutor

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