Solve the given (matrix) linear system: 3cos(t) X' = ; x+ (3cos() [2 14 - 2 2et

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Q: 2. Find the Fourier series expansion of: 0, f(x) = -1 <x < 0 0 < x < 1 sin TX, and then use it to…

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Q: dy = xy + x + y+1. dx

A: Solution :-

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Q: Q3/ Use Gramers rule to solve the system of equations: 3x + y + 2z = 3 2x - 3y -z = -3 X +2y +z = 4

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Q: 7. Write the given system in matrix form: x' = (2t)x + 3y y' = e'x + (cos(t))y %3D

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Q: 3). For the following linear system of first order ODES dx 2x + 4y + 3z dt dy — 4х — 6у — 3г dt dz…

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Q: Q4/ Solve the differential equation dy b) = V1 + sinx(1+ y?) when y(0)=1 dx

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Q: Q2: Find a root of x- 0.5 O by using Newton-Raphson method correct to 4 decimals so that the…

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Q: -24 5. y" + 4y" + 9y' + 10y = when x = y = 0, y' = –4, y" = 10 %3D

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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: 5. f (t)=-3t*e0.5t +3.8t²e²4+

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Q: lve the following first order differential equations (

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Q: Obtain the general solution unless otherwise instructed 3. (D² – 3D + 2)y = e2*(1+ e2x)¯ SUMMARY OF…

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