14) The curve given in parametric form by et +1 e2t – 3 with tER is a solution of the differential equation: a) (x – 1)y' – 2y = 6 b) xy' – 2y = 2x – 8 %3D c) (x – 1)y' – y= x

Q: A- Determine the complete solution of the following differential equations: 1) cos (x+y) dx (3y 2y +…

A: We are solving only the part A) for part B) please resubmit the question again with part B) only.…

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Q: (1) Show that the indicated parametric equations form a solution of the given differential equation.…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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A: To find the differential equation.1 whose general solution is y=c1e-2x+c2e3x.2 by eliminating B and…

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A: Consider the sketch of the autonomous differential equation,.

Q: 8.) Match the following differential equations with their phase portraits A.) x" + 10x' + 24x = 0…

A: Phase portrait of x''+10x'+24x=0 Phase portrait of x''+2x=0

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Q: 8.) Match the following differential equations with their phase portraits A.) x" + 10x' + 24x = 0…

A: Differential equations as it's phase portraits given below

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Q: (1) Consider the differential equation Vy – 1 y' = x – 2 with the initial condition y (xo) = Yo What…

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Q: 32. Show that the solution of the differential equation (x? + x - 2)2+ 2x + 1 =0 for which y= dx 1…

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Q: Using the substitutions 2- sin y and dz- cos y dy, the differential equation (3sin y - 5x)dx +2x cot…

A: The solution is given as

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Q: Consider the following autonomous first-order differential equation. =y² - 2y dx Find the critical…

A: Given differential equation:- dy/dx =y2 -2y

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A: Given the graph: To sketch: The direction field for the given graph.

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A: x''+2x'+26x=82cos4tD=ddt,D2=d2dt2d2xdt2+2dxdt+26x=82cos4tD2x+2Dx+26x=0 is the auxiliary equation.…

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Q: 6. The slope field for the differential equation dy x²y + y2 4x + 2y dx will be undefined (have…

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Q: Consider the differential equation y" – 2y'+ 37y = 0; e* cos(6x), e* sin(6x), (-o, ). Verify that…

A: y(x) = ex(C1cos6x +C2 Sin6x)

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Q: 3 ± 5i If the roots of the auxiliary equation of a higher-order homogeneous differential equation…

A: To find y, if the roots of the auxiliary equation of a higher‐order homogeneous differential…

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Q: 2. Consider a homogeneous differential equation, p(т, у) dx + q(z, у) dy %3D 0, where the…

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A: Solved below

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Q: following first-order linear differential equation. y' + 6xy - 6x = 0

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