4. Find a particular solution (without solving for the coefficients) of y(8) –2y(7) +4y(6) –81y(4) +162y3) –324y" = cos(v3x)+4sin(r)-9 cos(x)+7æ³-;xe" sin(v3r)-5e* (Hint: y(x) = e² cos(/3x) is a solution of the associated homogeneous equation)

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A: solution of differential equation

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A: First order ordinary differential equation.

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A: Topic:- application of derivatives

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A: We have to find the particular solution of the given differential equation.We have to use method of…

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A: Answer:- The solution of ex+2xy2dx + 2cos 2y + 2x2ydy          —       (1)

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Q: 2. Find a particular solution (without solving for the coefficients) of y(5) + y(3) = x³ – 3x +7+ x…

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A: The solution are next step

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Q: 4. Obtain the particular solution of (D² + 4) y = sin x + sin 2x

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Q: Find the solution of with y(0)9 and / (0) - 6. V= +4y=224 sin(4t) + 192 cos(4)

A: This question is about ordinary differential equation.

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Q: 5. Find ALL degree solution of 3sin 0 + 3 = 2 cos' 0.

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A: See the detailed solution below.

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A: Firstly we define method of undetermined coefficient

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Q: #17 Determine the equations of function graphed below.

A: According to question We have to calculate the equation of the graph.

Q: GiNen positive hum bers n. find tT absolute minsmam of MGrt justify your Solu tion.

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A: Please see the attachment

Q: to the I. sinx(e+ 1)x' - cosx = 1, y(=) = 0 %3D %3D (1 + e) (1 + cos x) = 0 (1 + e) (1 + sin x) = 2…

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Q: cos(2y) – 3x?y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0; y = 0 %3D

A: Let's find.

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Q: What is the general solution of the given equation, cos(x + y) + 2x + (cos(x + y) + 4y)y' = 0 O A…

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