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Solve dy/dx= (x√(x^2+3))/e^2y given that y=0 when x=1, giving your answer in the form y = f(x)

The first thing we notice is that this differential equation is seperable, meaning we can get all of our y's on the left with a dy and all of our x's on the right with a dx. Doing this by multiplying both si...
RG
Answered by Ross G. • Maths tutor
13260 Views

s^2 - 2s - 24 = 0

s 2 ​ - 18s = 0(s + 4)(s - 6) = 0s = -4 s = 6
NP
Answered by Natasha P. • Maths tutor
4455 Views

Prove that (2n+3)^2-(2n-3)^2 is a multiple of 8 for positive integer values of n

To prove that (2n+3) 2 -(2n-3) 2 is a multiple of 8 we are going to deal with the first bracket and then the second bracket. When a bracket has 2 next to it, this means that you multiplying the bracket, by t...
SD
Answered by Sioned D. • Maths tutor
25248 Views

solve sin(2x)=0.5. between 0<x<2pi

1)Take the inverse sin to take x from the sin(2x): 2x=arcsin(0.5). 2)Evaluate arcsin(0.5) to get pi/6: so 2x= pi/6 3)Dividing by 2 to simplify we get x=pi/12. 4)To find the second solution we note that (pi/2...
YZ
Answered by Yinglan Z. • Maths tutor
25075 Views

Differentiate x^5 + 3x^2 - 17 with respect to x

When you are differentiating, use the formula: The differential of ax^n is (n*a) x^(n-1). Or in words: 'multiply by the power, then reduce the power by 1.' Hence for our question, x^5 differentiates to 5x^(5...
DL
Answered by David L. • Maths tutor
4756 Views