y=9sin(5t)+2cos(5t)

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Solution for y=9sin(5t)+2cos(5t) equation:


Simplifying
y = 9sin(5t) + 2cos(5t)

Remove parenthesis around (5t)
y = 9ins * 5t + 2cos(5t)

Reorder the terms for easier multiplication:
y = 9 * 5ins * t + 2cos(5t)

Multiply 9 * 5
y = 45ins * t + 2cos(5t)

Multiply ins * t
y = 45inst + 2cos(5t)

Remove parenthesis around (5t)
y = 45inst + 2cos * 5t

Reorder the terms for easier multiplication:
y = 45inst + 2 * 5cos * t

Multiply 2 * 5
y = 45inst + 10cos * t

Multiply cos * t
y = 45inst + 10cost

Reorder the terms:
y = 10cost + 45inst

Solving
y = 10cost + 45inst

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 10cost + 45inst

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