The complementary function (C.F.) of the differential equation : (D² + 9²)y = sin 3x is Cjeda + C2e ,9x -9x + C2 sin 9x C1cos9x + c2sin9x + sin 3x Ccos9x + c2sin9x

Q: The differential equation for which sin¬ x + sin¯ y = C is given by V1- x²dx + /1- y² dy = 0 b. V1-…

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Q: Determine whether the given differential equation is separable. (xy* + 8y*) dy - 2ydx = 0

A: Given: To determine whether the given differential equation is separable.

Q: State the order of the given ordinary differential equation. (2x - tan(17x))y"" - x²y" + 18y' =…

A: Given the ordinary differential equation is  2x-tan17xy'''-x2y''+18y'=18sinhx+16

Q: The differential equation formed by eliminating A and B from y = e-2* (A cos x +B sin x) is A. y2 -…

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Q: The differential equation obtained by eliminating the arbitrary constants A and B from the relation…

A: Please see the answer in step 2

Q: (1) Determine whether or not the function u(t) = sin(2t) + cos(2t) is a solution to the differential…

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Q: Verify that the given function y = sin (x2 + C ) is a solution of the given differential equation:…

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Q: the differential equation (ycos(x) + 2xe")dy + (sinx + æ²e" + 2)dæ =|0 is Exact Select one: True O…

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Q: Form the differential equation for the function y = a sin3x -bcos3x O a. y" - 9y 0 O b. 9y" + y = 0…

A: Given differential equation is: y=asin3x-bcos3x                                                (1)…

Q: Given the differential equation 2 y" + 18y = 6 tan(3x) Determine the value of u2. AH2 "3 =" 9*…

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Q: This nonlinear differential equation, which describes wave mo- tion on shallow water surfaces, is…

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Q: у" — 8y 3D 0, у(0) %3D 4, у'(0) %3D5 and y"(0) —D 7

A: We have to solve

Q: The given differential equation (3D + 6D+7)y= sin r none of these stable unstable

A: First we solve the given differential equation and then check the limit exist at infinity or not for…

Q: Which differential equation follows the form A (x) dx +B(y) dy=0? ysinxdx-2xcosydy=0 B There is no…

A: Check for all the options.

Q: equation

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Q: (a) Find the particular solution of the following differential equation by using the method of…

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Q: Check that the function in the left column is the solution of the differential equation in the right…

A: Solve by finding particular solution

Q: Find the solution to the differential equation: cosxcos ydx + sin x sin ydy 0 a. cos x = C'siny O b.…

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Q: Determine which functions are solutions of the linear differential equation.y″ + 25y = 0 (a) sin 5x…

A: The sub-parts(a), (c), and (d) are the solution for the given D.E. (a) Calculate the 1st derivative…

Q: Find the differential equation that corresponds to the following solution. Give your answer both in…

A: The given solution is: y=C1 sin(4x)+C2 cos(4x)+C3 x sin(4x)+C4 x cos(4x)

Q: Solve the differential equation, 2ydy = (3y² cot r +sin xcos1) dr %3D sin z sin 3* y? = C O csc z…

A: We will find out the required solution.

Q: The particular integral(P.I.) of the differential equation (D² + 10²)y = cos²x – sin? x is cosx 96…

A: For particular integral :  Use cos(ax+b)/f(D^2) = cos(ax+b)/f(-a^2)

Q: Which differential equation follows the form A (x) dx +B(y) dy=0? A B dy dx dy - y --2y=0 - 2dx=0…

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Q: Show that the functions x, x2, form an FSS for the differential equation x³y" +x2y" - 2xy' +2y = 0.…

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Q: Suppose a solution to a differential equation is given by: x(t)=5cos(2t)+12sin(2t) (a) Express the…

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Q: Find the differential equation of the following function (х — Зу + 2)dx + 3(х + Зу— 4)dy %3D0 х-1 а.…

A: Let us consider the differential equation of the form dydx=ax+by+cdx+ey+f To solve the equation…

Q: The complementary function(C.F.) of the differential equation (D* – 8)y = sin 4z is - (2 cos v3z +…

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Q: Determine whether the family of functions x = c, sin t + c2 cos t is a solution of the differential…

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Q: The particular integral(P.I.) of the differential equation (D² + 5²)y = 2 cos² x – 1 is_ cos2x 29…

A: Here we use the trigonometric properties. Also use the method of undetermined coefficients to solve…

Q: The Pl of differential equation (D +D+1)y = cosx is a) sin 2x b) sin x 1 cos 2x 1 sin 2x 3 c) d)

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Q: The particular integral of the differential equation (D² + 2) (D + 4)y = 2 + sin² x + cos² æ is_ 8

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Q: Find the value of k so that the given differential equation is exact. (7xy³ + cos(y)) dx + (2kx²y² -…

A: Given

Q: Consider the differential equation Y+4y=x+ sin(2x), what would be the yc? Yc = Ge2X+ C2e -2x Yc G…

A: according to our guidelines we can answer only first question and rest can be reposted. thanku

Q: Solve the fourth order differential equation completely d*y d°(y/x) dx sin(x)+ cos(x) %3D 3 dx³

A: Given: A fourth order differential equation…

Q: The particular integral(P.I.) of the differential equation (D² + 4?)y = 2 cos² æ – 1 is cost 12…

A: Concept:

Q: The degree of the differential equation 2 (d²y' (dy\ 3 +1 = 0 dx2 dx, none O not defined O 2

A: Degree of the differential equation is the power to which the highest order derivative is raised.

Q: Find the solution to the differential equation that satisfies the stated condition. sin (5x + T),…

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Q: y= xtq %3D i a iB a constant yt= In (x-c) ;c iB a unstant

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Q: Find the differential equation by eliminating the arbitrary constant "a" from the family of…

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Q: The Particular Integral of the differential equation (D³ + 10D² + 7)y= 8x is PI = 7 8x 8x+x-3 O PI =…

A: Explanation of the answer is as follows

Q: The solution of the differential equation dy x² using variable separable 2 x dx 4y3 +7

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Q: A solution to the partial differential equation. u u is None cos (3x – y) 2² + y? -3 sin (7x) sin…

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Q: Use Variation of Parameters to find the General Solution to the Differential Equation. y" – 4y' –…

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Q: Which of the following is the general solution to the differential equation dx %3D 2 (3х + у)2 — 1?…

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Q: Which of the following is a solution to the given differential equation: y cotxdx + (3 sinx- Sy)dy =…

A: Explanation of the solution is given below....

Q: Show that the function y=e−2x(sin3x+cos3x) is a solution of the differential equation y′′+4y′+13y=0.

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Q: Verify that the indicated function is an explicit solution of the given differential equation.…

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Q: Find the differential equation y(x – 1)dx – (x² – 2x – 2y)dy = 0 a.x² + 2x + 4 = 2Cy² b.x² + 2x + 4y…

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Q: d0 1. (sec² 0) + ttan 0 = t³ %3D dt

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Q: Which one of the following differential equation is exact? a. 3x² In4ydx + dy = 0 4y 7x In 4ydx + dy…

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