Give values for the Fourier sine series S(x) = ) Bn sin 00 (-) пт %3D 4 n-1 S(4) = S(-1) = S(7) =

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Q: Solve the following differential equation Integrating Factor by Linear Equations: dy/dx = 1/x+y2

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Q: illustration?

A: Here provided illustration through an example.

Q: Q4/ Solve the differential equation a) xy. = 1+ x+y+ xy b) = V 1+ sinx(1+ y²) when y(0)=1 dx

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Q: I. Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = x2 + y (x, y) # (1, –1) x +y is…

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Q: 2. Find the Fourier series expansion of: So. f(z) = sin zr, 0<r<1 and then use it to find the values…

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Q: Suppose z is a function of a and y, and tan Vy? + x² = z"e6y. Solve for dz dz and

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