For questions put in Word file1.
Find all second order partial derivatives of f(x) = 6×5 + 9×2 + In(sin x).
Using Laplace Transforms, solve the following ordinary differential equations.
y”(t) +9y(t) = sin 6t, y(0) = y'(0) = 0
3. Use the Fourier Sine Transform of f(x) = e-*, x > 0, to show that
a sin(ax)
– e-x
a2 + 1 2
Given that f(r,0) = ere sin 0, find forr.

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