Solve the following Homogenous LDE: (D2+4D-5)y=0

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Q: Solve the non-homo. D.E. 1.y" + y = 3e2x

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Q: find the general solution of the given equation. 3y'' - y' = 0

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Q: D. y" + y’ - 3y = 4sin 2x

A: This question is related to differential equations, We will solve it using given information.

Q: (c) xy' = y(3– x)

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Q: Find a particular solution of (8) y′′′−4y′=t+3cost+e−2t.

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Q: Find the solution to xy' +y =x² + 1

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A: The given equation is y" + y = e2x Substitution of y=ex into the differential equation yields the…

Q: 5. Find a particular solution to the equation -2x y" + 4y' + 4y = xe¯

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Q: Find a constant solution of y′ = t2y - 5t2.

A: we have to find a constant solution of  y'=t2y-5t2

Q: Find a particular solution of (20) y′′−3y′−4y=2e−t.

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Q: Solve the he 2ydx + (x² -y² )dy = 0 equation so Li 3 much

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Q: (c) Solve the following IVP by separating variable. 2(y - a)da + (3a + 4r + b)dy = 0 Using initial…

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Q: In the given question , find d2 y /dx2 implicitly in terms of x and y:-   x2 y - 4x = 5

A: Given: x2 y - 4x = 5 Now differentiate with respect to x we get,…

Q: y' -y"

A: According to our company policy, we are supposed to answer only one question at a time. For the rest…

Q: Solve the following equations  by the method of undeterminedcoefficients. y" + 2y' + y = x2

A: The given differential equation is y''+2y'+y=x2. Auxiliary equation of homogenous system is…

Q: In each exercise, obtain the family of solution. 3(3x² + y²) dx – 2xy dy = 0

A: According to our guideline we are supposed to answer only the first question.

Q: Solve the equation xydx - (x + 2)dy = 0

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Q: Solve the following equation for c: 1 2-c-z 2-²-y 1 dz dy da 10

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Q: In the given question , find d2 y /dx2 implicitly in terms of x and y :- x2 y - 2 = 5x + y

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Q: Find a particular solution to y" + 7y' + 10y = -19te“. %3D

A: Introduction: When there is a non-zero function of the independent variable on the right-hand side…

Q: Solve the following equations: (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: Find the solution to the Bernoulli Equation. 2x³y = y(y? +3x?)

A: The solution is given as

Q: 2xydx + (y^2 - 3x^2)dy = 0

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Q: 4. y' + 4y = x?

A: Given information: y' +4y=x2

Q: The equation y3 = 3Bx is the general solution of 3y Oy Oy 3xy Ou' = 3y

A: We will form the differential equation using given solution

Q: Find a particular equation for the DE: y+4y'-2y= 2x -3x+6

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Q: Solve the given problem: y'' + 4y= 3sin2x

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Q: Solve the follawing D ·E. 2. y²dx + (3xy +y²-1) dy =0

A: Please refer the attached image for complete solution.

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Q: Give the general solution of: dw/dx + (4w)/x = x3

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Q: d²y 4y 3e2x. %3D dx2 3.

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Q: Q1:- Solve the following DEs:- dy + 2x³y = y³x3 dx

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Q: .3 t +y3

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Q: Solve the following equation. | (2t – 6) dt = 0

A: Recall the rule of integration: Integral of xndx = xn+1

Q: Which of the following is a solution to xy' + y + x*y*e* = 0 ?

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Q: (b) Solve: (x*D² - 2XYDD' - 3y'D? +xD-3yD')z = x'ycos(Inx').

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Q: Solve:- dy 3y -4 x" こ メlo

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Q: Solve for Yc: y"-9y=x/e^3x

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