- Can You Please Help Me With This Differential Equation Question 1 (26.09 KiB) Viewed 27 times
can you please help me with this differential equation question
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answerhappygod
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can you please help me with this differential equation question
can you please help me with this differential equation question
1. 2. 3. Solve the following equation subject to initial condition y(1) = 10. Sketch the graph of f(x) = -x, 0 < x < π, f(x) = f(x+2m), and find the Fourier sine series of f(x). By using separation of variables, show that the solution for the follow- ing heat equation with mixed boundary condition is given by dy (x + 1). +y=lnx, da = ди Ət u(0, t) = 0, u(x,0) = 1, ∞ u(x,t) = Σ n=1 Ju 0x²¹ 0<x< 1, t> 0, u, (1, t) = 0, t> 0, 0<x< 1, 4 (2n-1)π sin (2n-1)πx (2-1²-² 2
1. 2. 3. Solve the following equation subject to initial condition y(1) = 10. Sketch the graph of f(x) = -x, 0 < x < π, f(x) = f(x+2m), and find the Fourier sine series of f(x). By using separation of variables, show that the solution for the follow- ing heat equation with mixed boundary condition is given by dy (x + 1). +y=lnx, da = ди Ət u(0, t) = 0, u(x,0) = 1, ∞ u(x,t) = Σ n=1 Ju 0x²¹ 0<x< 1, t> 0, u, (1, t) = 0, t> 0, 0<x< 1, 4 (2n-1)π sin (2n-1)πx (2-1²-² 2