Solve the exact differential equation (n y - y sin x -без)dx+(, + cos x + 5 seс y tan y - 6у)dy %3D 0 A х In y +уcosx-2e3X+5 taпy -Зу?-Dс B In хy - усos х-2е3X—5 seс у -Зу?3D с (с) xInу+у cos x - 2esX +5 sec у -Зу?3D с C (D) xInу —-у cos x - 2е3х + 5 tan y -Зу?3D с

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y=ae +be¯ª.

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Q: Consider a nonhomogeneous differential equation y" + 4y = -12x + 10e-*. (a) Verify that yp = -3x +…

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A: Solve the differential equation, by theMethod of variation of perameters

Q: Show that the first order differential equation (x + 1) y' - 3y = (x + 1)5 is of the linear type.…

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Q: y'= (x²y- y)/(y+1);when x = 3, y = -1

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Q: 2] The linear differential equation with constant coefficients satisfied by the equation y = 2x 5e2*…

A: Hence option (b) is correct.

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A: Given, The bernoulli's equation y' + yx = 3y-2            x>0

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A: As per as our guideline i am supposed to answer only one question from all these question . To get…

Q: Solve the given third-order differential equation by variation of parameters. y''' − 6y'' − y' + 6y…

A: The given equation can be written as D3-6D2-D+6y=e4x. The auxiliary equation is m3-6m2-m+6=0. Using…

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Q: Determine the solution of the differential equation d5x ,d*x d3x d2x + 12 + 8 - ds5 ds4 ds3 ds2 а. x…

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Q: Obtain the differential equations satisfied by the given puiiicular 3. y = e5x - 3x - x2 4. y = e3x…

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Q: Often a differential equation with variable coefficients, y" + p(t)y' + q(t)y = 0 (1), can be…

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

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Q: solve the for the general solution of the differential equation( linear homologous equation): y''-…

A: answer  Y = 9x22+ 3x detailed solution is given below

Q: 5, a) Solve the differential equation dy x+2y-1 %3D dx 2x-y+3

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Q: Find the general solution of the given higher-order differential equation. du + + 6- drs dr4 12- dr2…

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Q: The characteristic equation of the differential equation 2 y (4) + 11 y (3) + 18 y " + 4 y' - 8 y =…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

Q: 5. If the characteristic equation of the differential equation 27 - 184 dx +8- y-0 is dx 27m -18m…

A: The characteristic equation of the given differential equation is 27m4-18m2+8m-1=0.

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Q: Obtain the particular solution of (3x2-2y2)y'=2xy; when x=0. y=-1

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Q: Solve for Linear Differential Equation of Order n: y′′−2y′+y=7e^x+75sin(2x)

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A: The objective is to determine whether the given statement is true or false. Given differential…

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Q: Please, reply as soon as posible! Determine the general solution of the differential equation y ′ ′…

A: To find its general solution for the below differential equation. y''−16ky'+64k2y=ex

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

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Q: 3. Form a differential equation by eliminating the constants a and b: y = ax² + bx

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Q: Solve the differential equation by separation of variables: (x²+4) dy + x²y²dx=0 Ⓒ 1 y There is no…

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Q: (y-x)y'=y-x+ 2; y=x+2√√√x+5 When y = x + 2√x + 5, Thus, in terms of x, (y-x)y' = y=x+2= Since the…

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Q: on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent…

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A: y''+9y=0 is the given DE with the general solution y=C1sin(3x)+C2cos(3x)...(1) To verify the general…

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Q: . Given the differential equation: y" = cos(5x). Determine its general solution. A. 125y = -cos(5x)+…

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Q: Verify that the expression: 1 C(t,T) = 1 e-b(T-t) 1 + ab -a(T-t) a(a – b) b(a – b) is the solution…

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Q: Solve the differential equation ry" +2 (1- x) y'+(x- 2) y = 2e", if y1 = e" is known as a solution…

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Q: Find the general solution of the differential equation 8d2ydx2-6dydx+y=2x+40sin x

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Q: Often a differential equation with variable coefficients, y" + p(t)y' + q(t)y = 0 (i), can be…

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Q: Determine the solution of the differential equation у"+2y" - 5y - бу%3D0 that has values y= 3, y = 6…

A: The differential equation y'''+2y''-5y'-6y=0 where y0=3,y'0=6,y''0=12. Rewrite the equation using…

Q: The General solution of differential equation defined by: x2 y"-2x y'-4y=0 is defined by 1 y(x) = C,…

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