Solve the given O.D.E. by the method of "Undetermined Coefficient"; 4 Y" - 4 Y' - 3 Y = cos (2X)

Q: If y = cos24x, find dy/dx. (SOLVE BY USING DIFFERENTIAL EQUATIONS

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Q: Solve the given differential equation by separation of variables. dy ху + 4y - х- 4 dx ху — 9у + х —…

A: Separation of variables...

Q: Solve the given differential equation by separation of variables. dy ху + бу — х — 6 - - dx ху — 5у…

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Q: y – 18y"'+ 81y'= 0

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Q: 1 COSX dx cosy] dy cotytanx

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Q: Which of the following differential equation has a solution of y = e"(c, cos 2x + c, sin 2x) ?

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Q: Solve the given differential equation by undetermined coefficients. y" + 16y = 5 sin(x) y(x)

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Q: У(4х + у)dx — 2(х - у)dy %3D0

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Q: 2- Solve the following differential equation; dy = ycot(x) + y°csc"x - 1 dx %3D We observe that the…

A: The given differential equation is, dydx=ycotx+y2csc2x-1

Q: Solve the given differential equation by undetermined coefficients. y" – 9y = (x2 – 5) sin(3x) %3D

A: First calculate complementary solution Put, y''-9y=0 Characteristic equation will be k=ddxk2-9=0k=±3…

Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 7 sin(2x) %3D

A: Given: Differential equation y"+ 4y = 7 sin(2x)

Q: у" — 4у %3D (x? — 3) sin 2x

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Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 5 sin 2x y(x) =

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Q: 1. (D² – 9)y = 3e* + x – sin 4x

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Q: Do the functions y1 = cos81 and y, = sin8t constitute a fundamental set of solutions of the…

A: Given a 2nd order linear differential equation y"+16y=0---1   We know that for the differential…

Q: xdy - (y + x² cos(x)) dx = 0

A: xdy-y+x2cosxdx=0xdy-ydx-x2cosxdx=0xdydx-y-x2cosx=0dydx-yx=xcosxFirst order linear diff. eq.

Q: The equation, sin y-2 sin(2) sin(2y) y+ cos z + 2acos () cos(2y) = 0 is an exact differential…

A: We have to solve

Q: Without solving for the undetermined coefficients, find the correct form of the particular solution…

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Q: Solve the given differential equation: (x + y sin 2) dx x sin 2 dy = 0 -

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Q: Solve for the differential equation of the given solution 1. y = C1e7*cos9x – C2e7*sin9x %3D

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: Q.3. Solve the following first order differential equation: (cos y+sin y)² dx Vx²+x+3 cos 2y -dy =…

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Q: Identify the type of differential equation and solve it: dy / dx = cos (2y - x)

A: Consider the given differential equation  dydx=cos2y-x         …1 The given differential equation…

Q: If the auxiliary equation of a differential equation of order 2 has real roots r1 =8 and r2 = -8,…

A: Answer is- false. Explanation is given in next step.

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' + 50y = ex cos(7x) y(x)…

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Q: 6. yi + y = 1, when x = 0, y = 4 %3D dx

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Q: Verify that the given differential equation is exact and solve it: (10x + 7y)dx + (7x – 16y³)dy = 0

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Q: solve the given differential equation 3. y′ = cos2(x) cos2(2y)

A: Solution -  Given function -  y'=cos2(x)cos2(2y)or,dydx=cos2(x) cos2(2y) Segregating the y and x…

Q: dy +2ху- у - 0 dx .

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Q: Solve the following differential equation.  (y3 sec2 x)dx − (1 — 2y2 tanx)dy = 0

A: Consider Mdx+Ndy=0This equation is exact if ∂M∂y=∂N∂xIf ∂N∂x-∂M∂yM is a function of y alone, say…

Q: 2 2 sin x cos? ydx+cos² xdy = 0 %3D

A: Given differential equation sin x cos2y dx + cos2x dy = 0

Q: solve the following implicit ordinary differential equations. :) -* ‚ y (1) = 1 -1 y tan y' = '() x…

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Q: solve the given differential equation by undetermined coefficients. 4y"-4y'-3y=cos2x

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Q: Solve the given differential equation: (x + y sin 2) dx x sin ! dy = 0 -

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Q: (B) Solve the following differential equation: 3y cos 3x dx - sin3x dy = 0

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Q: verify that the given differential equation is exact; then solve it. 37. (cos x + In y) dx +(÷+e" )…

A: Given, the differential equation is Verify that the differential equation is exact and then find…

Q: Solve the following differential equation (6х' — у +3)dx + (Зу* — х- 2)dy

A: Here, i am providing the handwritten solution

Q: Solve the given exact differential equation (cos x+ In y)dx+ -+e' |dy =

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Q: Use the substitution v = 4 to solve the differential equation: 24 + cos ().

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Q: Do the functions y, = cos6t and y, = sin6t constitute a fundamental set of solutions of the…

A: Any two linearly independent solutions of a differential equation of order two, constitute a…

Q: equations

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Q: dy = 4 cos 6x dx

A: This is the question of differential equations.

Q: solve the given differential equation 7. dydx=yx

A: Given:  7 dydx =yx⇒   7 dyy = x dxOn…

Q: Solve the given differential equation by undetermined coefficients. y"-9y=(x²-4) sin(3x)

A: Given differential equation is  y''-9y=x2-4sin3x Let ddx≡D, D2-9y=x2-4sin3x

Q: D. Solve the given differential equation by variations of parameters. 1. y" + y = cos² x

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Q: Solve the given differential equation by undetermined coefficients. y" + y' + y = x sin(x)

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Q: Solve the given initial-value problem, y" +49y0, y(0) - 6, y(0)=-3 3 x(x) = 6 cos (77)-sin (71)

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Q: , solve the following implicit ordinary differential equations. y tan- y (). 4. y' = -, y (1) = 1 x…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.