Which of the following differential equations are ordinary? (Select all that apply) dy + 2 dx = cos t dt + sin 0 = 0 dt2 m dt2 + cx + kx = 0 dt yy + 2x = cos x

Q: Which of the following equations are linear ordinary differential equations? 1. 7x² + yx = 0 2. 7x'…

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Q: Find all solutions of the DE y"– 12 y '+36 y=16 te°* (where t is a real constant)

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Q: tate The Order Of The Differential Equation And Determine Whether It Is Linear.

A: Given that the differential equation i.e.       (i).   dydx=x2-y2.

Q: Find az/ax and dz/dy. xyz + cos(xy) - 2y sin(x) + z² = 3 Find az/ax and dz/dy. exz ZX y

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Q: Consider the second-order differential equation:  (d2x/dt2) + x (dx/dt) = sin x.  which option…

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Q: Which of the following equations are first order ordinary differential equations? 1. 7x + yx 0 2.…

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Q: Linearize the following nonlinear differential equations for the input equilib- rium of u-2 9+uy-u.

A: 4.

Q: Consider the initial value problem (2xy² + cos x cosy) dx + (2x2y- sinx siny) dy = 0 and y(0) = 1…

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Q: Find a differential operator that annihilates 4e2" cos 3x + 3x²e5.

A: Let L be the differential differential operator that annihilates 4e2xcos3x+3x2e5x. Find L.