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Wave Equation

A wave is rep...

Question

A wave is represented by an equation $y = c_{1} \sin (c_{2} x + c_{3} t)$ . In which direction is the wave going? Assume that $c_{1}, c_{2}$ and $c_{3}$ are all positive.

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Solution

Equation of the wave is
$y = c_{1} \sin (c_{2} x + c_{3} t)$
When the variable of the equation is (c₂x + c₃t), then the wave must be moving in the negative x-axis with time t.

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Similar questions

(c_{1} c o s (x + c_{2})) - (c_{3} e^{- x + c_{4}}) + (c_{5} s i n x)

c_{1}, c_{2}, c_{3}, c_{4}, c_{5}

y = m_{1} x + c_{1}

y = m_{2} x + c_{2}

y = m_{3} x + c_{3}

m_{1} (c_{2} - c_{3}) + m_{2} (c_{3} - c_{1}) + m_{3} (c_{1} - c_{2}) = 0

v

(x)

v = \sqrt{c_{1} - c_{2} x}

c_{1}

c_{2}

y = (c_{1} + c_{2}) cos (x + c_{3}) - c_{4} e^{x + c_{5}} .

c_{1} . c_{2}, c_{3}, c_{4}, c_{5}

y = C_{1} + C_{2} e^{x} + C_{3} e^{- 2 x + C_{4}}

C_{1}, C_{2}, C_{3}, C_{4}

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