Q2-5 * Solve the he (D-3D+2)y(x)= sin(e™") equation

Q: Given the solution:  y = C1e-2x + C2e2x + x2  Which differential equation is it a solution of?

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Q: Solve the differential equation y'=(3x+3y-1)^2. Use the substitution u=3x+3y-1

A: The given differential equation is

Q: The differential equation y" -5y-4y csc2t can be solved by varlatlon of parameters. Select one: O…

A: Given a statement

Q: Q4. Solve x- 2y = x² + [Cauchy-Euler differential equations]

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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

A: We know,  f(x) = ∫f'(x) dx

Q: a) (2 - 1)y = y² – 1, yı (2) = 1

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Q: solve xdx+ydy=a^2(xdy-ydx)/(x^2+y^2) using exact Differential Equation

A: Given equation is x dx+y dy=a2x dx-y dyx2+y2.

Q: (5) Solve the differential equation by variable separable x cos² ydx – y cos² xdy = 0 -

A: To solve the given differential equation.

Q: Solve the differential equations using the substitution suggested by the equation. (x + 2y - 1)dx +…

A: Given the differential equation is (x + 2y - 1) dx + (2x + 4y - 3) dy = 0; when x = 2 and y = -1.

Q: equation

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Q: 3. (D² +1) y=tan(x)

A: solve using Non-homogeneous Hihger Order Differential Equations: By the method of variation of…

Q: a) (2² - 1)y' = y² – 1, yı(2) = 1

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Q: 4. (2y cos x + sin 'X) ax 5. y' = 1+ 3ytanx

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Q: 8y"-2y' -y= -x? -x -1

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Q: y"-7y'=(2x-1)sin 2x

A: Differential equation

Q: dy (13) 2+ 3y = 3x²e¬3* dx

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Q: Particular solution of y" - 4y' + 8y = x³, when x = 0, y = 2, y' = 4

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Q: Solve the differential equation using the Method of Undetermined Coefficient. Show your solution.…

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

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Q: 2y' – 5y = sin2x – 7cos2x

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Q: (sin² y + x coty)y' = 1

A: I have appended the formula used in the solution part of the question.

Q: How do I solve this differential equation using P(x), Q(x) and v(x)?

A: The given differential equation is,

Q: Q2/ Solve the differential equation by using the appropriate method y' = (x + y - 5)2 %3D

A: The solution of an ordinary differential in the form of can be found by the technique of separation…

Q: 2. x³ydx+(3x² - y³ )]dy=0

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Q: dу ху+2у- х-2 dx xy- 3y+ x-3

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Q: 4. Find the Differential Equation and Orthogonal Equation of the family of parabolas with vertex and…

A: Let the vertex lies at (a,0) and focus at (b,0) So the general equation of parabola having axis as…

Q: A third- order differential equation has a general solution of y=e^-2x ( C1 + C2cos8x + C3sin8x ).…

A: From given solution obtain the roots of characteristics equation. From roots obtain the auxillary…

Q: solve the equation using differential equation linear in x and y: (2x-3y-5)dx + (3x-y-2)dy = 0;…

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Q: 7e-3x+2x² -xcosx y' -6y3

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Q: (D² -1)y= 2(1-e-2*)-1/2

A: By Using  variation of parameter

Q: II. Solve for the differential equations and get the general solution. Simplify your answer free…

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Q: Q4: Solve the differential equation: 8- dx2 d²y 69 + y = 6. coshx dy dx

A: Some formulas: coshx=ex+e-x2 Given differential equation is: 8y''-6y'+y=6 coshx Auxiliary equation…

Q: 4(3x+y-2)dx-(3x+ y}dy=0 %3D 3.

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

Q: Obtain the solution of the following differential equation. 3. (x+y-4)dx - (3x-y-4)dy = 0 ; when x =…

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Q: Find the solution of differential equation (Dª - 6D³ + 3D² - 12D + 4) y = 0

A: Solution is here

Q: Q-3. Solve the differential equation by variable separable method dy + xy dx = 9xdx

A: To solve the given differentiable equation by variable separable method.

Q: Solve y" –3y' = 2e* +5sin 2x

A: We will find out the required solution for the given differential equation.

Q: solve euler differential equations x²y''+y'x = 0

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Q: Solve the differential equation using the Method of Undetermined Coefficient. Show your solution.…

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Q: Q3/ solve the differential equation below: 1. ²-3x+2y=0 (Complementary Function)

A: The given differential equation is d2ydx2-3dydx+2y=0. Solve the given differential equation.

Q: Solve the differential equation 3y + 3y (sin-¹x)√1- 1 Maximum file size: 512MB, maximum number of…

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Q: Example :- Solve the following differential equation where d²y + y = 0 dx2 Subject to boundary…

A: As per the question we are given a second order linear homogeneous differential equation with…

Q: Obtain the solution of the following differential equations. 4. (3x + y − 2)dx − (3x + y + 4)dy = 0

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Q: Solve the differential equation (D² – 8D + 16)y = -3e4x by an %3D appropriate method.

A: Given: D2-8D+16y=-3e4x The auxiliary equation is: m2-8m+16=0 Now solve;…

Q: Consider the differential equation r'y" +3ry'-3y 2a - 3r. of variation of parameters to solve the…

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Q: Solve the differential equation using the Method of Undetermined Coefficient. Show your solution.…

A: Differential equations

Q: Find a differential equation whose general solution is 6t y = c₁et + c₂e -3t = 0

A: We find a differential equation whose general solution is y=c1e6t+c2e-3t.