16.4 Euler's Method 16-23 In Exercises 5-10, find the orthogonal trajectories of the family of curves. Sketch several members of each family. 6. y = cx² 8. 2x² + y² = c² 10. y = ekx 5. y = mx 7. kx² + y² = 1 9. y = ce *

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Q: Q2. Obtain the Fourier series for the function given in the diagram below f(x) 2 20 0 2T 3T X -2

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A: I have used simple trick of geometric sum.

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Q: 2. Determine half range Fourier sine series for f(x)=x(n-x) in 0<x< T hence deduce +3/3+²/2+ π³/3².

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