Express the following complex-valued function z(t) as z(t) = u(t) + i v(t), where u(t) and...

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Express the following complex-valued function z(t) as z(t) = u(t) + i v(t), where u(t) and v(t) are real-valued functions. z(t) = (2-3i)(cos(2t) — i sin(2t)) 2. Use Euler's formula to find the antiderivative: Se-t sin(3t) dt 3. Solve the 1st order Differential Equation - use whichever method is appropriate. Show your work, including any necessary integrations. y² dx + (x² - xy) dy = 0 Express the following complex-valued function z(t) as z(t) = u(t) + i v(t), where u(t) and v(t) are real-valued functions. z(t) = (2-3i)(cos(2t) — i sin(2t)) 2. Use Euler's formula to find the antiderivative: Se-t sin(3t) dt 3. Solve the 1st order Differential Equation - use whichever method is appropriate. Show your work, including any necessary integrations. y² dx + (x² - xy) dy = 0