2: Clasafy ad Solve The fllowing diffrential equatóns dy -2x e + + 4. Sinx フス2 フィ* + (6 y = 6x°1ox 6x°4 lox フx2 t, %3D

Q: 2. Solve using any technique y" – 2y – 3y = sin r

A: First we find CF and then PI(by using the formula of PI of sin(ax)) and further find general…

Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: I am attaching image so that you understand each and every step.

Q: (s,+)=(-3,1) X=5?+2+? y= 6st a) 4s x sinly) + 6+x?coscy) at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at…

A: GIVEN  (s,t)=(-3,1) X=s2+2t2  Y=6st substituting the value of s,t for X and Y we have  X=(-3)2…

Q: Solve for the general solution of (D² - 1)y = sinx using variation of parameters

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Q: Use the method of variation of parameters to determine a particular solution to the given equation.…

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Q: 2 1. Evaluate 8x" dx by the Gaussian quadrature method. 7

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Q: use two and three points of Gaussian-Quadrature method to Find 1 = e" e(1+sinx) dx

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Q: dz Consider In(4r2 + y?) + sec(9y²) + e²* = tan(xz). Find

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Q: Find the solution of the IVP: y" – 9y = sin 2t, y(0) = 0, y'(0) = 1 using method of undetermined…

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Q: I need help to find particula solution using undetermined coefficients: y''+4y = sin(t) + t2 + et

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Q: Find a particular solution to y" + 36y = 24 sin(6t). %3D

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Q: F. Solve: y" – 6y' + 15y = 2 sin 3t, y(0) = –1, y'(0) %3D -

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Q: Use the method of undetermined coefficlents to solve the following problem. y +8y = e-8t sin t, y(0)…

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Q: e5x cos e5x dx sin²e5x

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Q: Solve the equation siny(X+siny)Dy+2x²cosydy=0

A: Consider the provided question, sinyx+sinydx+2x2cosydy=0sinyx+siny+2x2cosydydx=0…

Q: The approximation of I = (x-3)e* dx by composite Trapezoidal rule with %3D n=4 is:

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Q: п sin ydx + cos²xdy = 0; y (÷) =| %3D 4

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Q: Given 12 csc (6x) Cot (6x) dx Step 2 How are these values înserted into the Cot (62) equation in…

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Q: Q3) find the soluation of differention equation 2) y' sin 2x = y cos 2x

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Q: 2 dy Is y = sin t, a solution to = 1 – y? Justify-

A: We will prove the given statement.

Q: c fx) = at (4, 2) 3x – 4 d y=x In x at (0, 1) sin3x at y =- x? 4 e T 2

A: Part(c): Given function is, fx=x33x-4 at 4,2 To find the gradient of a function (which is a vector),…

Q: #5 ở V - (2xy sinz) - (3y~); + (5x> y? z?)k .* and vx ů. ealeulate

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Q: solve the bondry value prablem (D2,36/y= Sinbx given ylol0 मि हि

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Q: rcosA 2. r sin 0 dz dr de

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Q: 1. Solve, using the method of variation of parameters: y" + y = sec 0 tan 0

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Q: what is the privet solution to thhe equation (6+0)ycx)= Xsin cx) (X) %3D

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Q: y" + 4y = 2 sin(6x)+ 6x²e¬3z + 5x,

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Q: SV1- x2 sin-1x dx

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Q: 2 sin3 y dy = 3 0,

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Q: YA yA **y = 2 z dydz fle.6,6) sino dp dộ đe ( cos e sin 8) rdrde

A: The limits of integration have a critical role in evaluating the volume. Usually, the limits with…

Q: che general solution of -V - 6y = 6x3 + 26 sin 2x

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Q: 5. J sin42x cos22x dx.

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

Q: Write the general solution to y= arcsin 1. Oy=+2 tk Oy=tk Oy= T ak

A: Given :y=ascsin(1)

Q: 4. What is the form of y, given (D² + 9)y = x + tanx? A. Yp = V,sinx + vzcosx B. Y, = v, sin3x +…

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Q: d?x + 4x = sin2t Q5: Solve: %3D dt2 Using variation of parameters method?

A: Answer

Q: 8 cos (2r² + 2y²) dy dr Hint You could take a cab to the pole.

A: Given the integral is ∫02∫04-x28cos2x2+2y2dydx

Q: b) Find the general solution of (3sin y– 5x)dx+2x² cot ydy = 0

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Q: 1. (5x + 4y) dx + (4x – 8y³) dy = -

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Q: Solve by Bernoulli's Equation 2. sin y(x + siny)dx + 2x?cos y dy =0

A: We find the solution by Bernoulli’s Equation.

Q: implicitly, if e*(e» – 1) + sin(2x + 5y) = In(v7) – · cot(2x) 8. Find %3D y+2

A: Given,

Q: Use the method of characteristics to solve the first order equation Ug – 2uy = 3 with u(x, x) =…

A: Method of Characteristics and General Solutions: The general solution of the quasi-linear equation…

Q: 2 cosh V5t + t5 1 -2t sin 2t

A: Definition of Laplace transform :Let f(t) be a function Laplace transform of the function is…

Q: Find the solution of: y" +y = 2e' ,y(0) = 0, y'(0) = 0 Select one: a. y = e' b. y = 2sint - cost +…

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Q: a) Prave that sinlx t Cos-lx = ½ %3D

A: To prove,   sin-1x+cos-1x=π2

Q: 2-€2x y") edxtcuxe yd-siny)lye.co

A: A differential equation of type   P(x,y)dx+Q(x,y)dy=0   is called an exact differential…

Q: Solve osdinary DIPPedential Eguation + qy 6 Cos(3t) Y(0) = 0 %3D Y'(0) = 0

A: Consider y=emt be the solution of the homogeneous part. The auxiliary equation is m2+9=0. Solve the…

Q: Solve using method of undetermined coefficcents (D2 2D + 2) Y 24 e sin 3X when x=0, y=D0. y=0

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