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The formula for integration by parts is Integral(udv/dx)dx = uv - Integral(vdu/dx)dx
You use integration by parts when you have an integral where you have to terms multiplied together ie Int...

16y³ + 9x²y - 54x= 0 
a) Differentiate the terms separately dy/dx(16y³ + 9x²y - 54x) = dy/dx(16y³) + dy/dx(9x²y) - dy/dx(54x) ...

So firstly, you need to find two numbers that multiply to make 6 and add to make 5 Make a list of numbers that multiply to make 6 i.e. 16 and 32
So you can either have (x 6)(x 1) OR...

0.5Ln(x^2+2)+ C

Explain how linear simultaneous equations with two variables ("unknowns") differ from single linear equations with two variables. Explain that a single linear equations have multiple, and indeed...