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Decide whether or not the following equations are linear: (a) d^2/dx^2y(x) = -8(y(x))^2 is a -...

Decide whether or not the following equations are linear:

(a) d^2/dx^2y(x) = -8(y(x))^2 is a

- linear equation

- non-linear equation

(b) d/dx(yx) + sin(4y) = 0 is a

- linear equation

- non-linear equation

(c) sin(8x)*d/dxy(x) + y(x) = 7x is a

- linear equation

- non-linear equation

(d) d/dtx(t) +3x = -8t^3 is a

- linear equation

- non-linear equation

(e) sin(5y(x))d/dxy(x) + y(x) = 9x is a

- linear equation

- non-linear equation

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