Mathematics · Partial Differential Equations
Consider the following expression: z = sin(y + it) + cos(y - it), where z, y, and t are variables, and i = √-1 is a complex number. The partial differential equation derived from the above expression is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(∂z/∂t) + i(∂z/∂y) = 0
- 2(∂z/∂t) - i(∂z/∂y) = 0
- 3(∂2z/∂t2) - (∂2z/∂y2) = 0
- 4(∂2z/∂t2) + (∂2z/∂y2) = 0✓
Correct answer
(∂2z/∂t2) + (∂2z/∂y2) = 0
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