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Find the general solution to the differential equation '' (x^2 + 3x - 1) dy/dx = (2x + 3)y ''

Now although this might seem like quite a complex question at first, it's a little less intimidating when we take a while to look at it- you might notice that we can seperate x and y terms like so: 1/y dy = ...
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Answered by Sam T. • Maths tutor
8078 Views

Solve 0=X^2 +5x +4

0= (x + 4)(x + 1) x= - 4 x= - 1
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Answered by Rebecca W. • Maths tutor
3358 Views

Differentiate y = lnx + 4x^2 + 3e^4x with respect to x

lnx differentiates to 1/x 4x^2 differentiates to 8x 3e^4x differentiates to 12e^4x therefore the answer is: 1/x + 8x + 12e^4x
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Answered by Dhylon S. • Maths tutor
4613 Views

Show that (4x – 5)^2 – 5x(3x – 8) is positive for all values of x

(4x-5)^2-5x(3x-8) (16x^2-40x+25)-(15x^2-40x) 16x^2-15x^2-40x+40x+25 x^2+25 if x = positive, x^2 will be positive. if x = negative, x^2 will be positive. x^2 is positive for all values of X, +25 will not make...
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Answered by Joseph M. • Maths tutor
4244 Views

((2x + 3)/(x-4)) - ((2x-8)/(2x+1)) = 1

x=0.81
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Answered by Amelia S. • Maths tutor
3460 Views