b) Obtain the particular solution of the following differential equation y/" + y' = 0, y(5) = 5, /) = -1, yG)- = -2

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Q: What form of the particular solution is appropriate for the differential equationy" - y'=4?

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Q: 1. Solve the linear differential equation of y' – 2xy = = X. swer:

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Q: 2. Form a Differential Equation for the given equation y = 2 cosx + 5 sinx by eliminating the…

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Q: 13 Find solution of non-homogeneous differential equation (D* +1)y = sin (3x)

A: Find complementary function and particular integral

Q: (b) Form the differential equation by eliminating the arbitrary constants a,b from y = aez + be 8z

A: Differentiate twice with respect to x then we get the answer

Q: 3. Find the general solution y = Yc + Yp to the differential equation. Use the uppercase letters C…

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Q: Find the general solution of the first-order linear differential equation. y + y = 16 cos (x)…

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Q: Solve for the non-homogenous linear differential equation: y''+4y=cos^2(x)

A: Given; y''+4y=cos^2(x)

Q: find solution of order differential equation  dy/dx=cos2(x-y+1)

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Q: Suppose that y1 = e x and y2 = e −x are the solution of a homogenous linear differential…

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Q: Eliminate the arbitrary constants: y= x+ Ce2x + C2e¬x 1.

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Q: 7. Find the particular solution of the differential equation dx +5x³y x³ passing through the point

A: Given, dydx+5x3y=x3,   0,72 it is a linear differential equation p(x)=5x3,  q(x)=x3…

Q: (4) a general solution of the 4th-order differential equation y +y(3) + y" = 0.

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Q: 2-The exact solution of differential equation ý--4y with y(0)-1 is (a) 2e-4x (b) e-4x (c) e-4x +1…

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

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = a sin x…

A: Eliminating arbitrary constants a & b using derivatives.

Q: Find the ordinary differential equation from the general solution: y = Ae-* + Be-*

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: 1. Form the differential equation by eliminating the constant A and B from y = emx (A cos nx + B sin…

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Q: y' cosx f. -=cos y

A: The given differential equation is,y'cos2x=cosy

Q: 2. Form the differential equation from the circle passing through the origin having their centers on…

A: This question is based on forming differential equation by eliminating constant.

Q: Show that the differential equation UTM dy -2 - ye rey - 2y dr is exact and find its solution.

A: Use the concept of exact differential equations.

Q: 2. Test the exactness and obtain the general solution of the differential equation: 2+yexy y' =…

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Q: 2. Consider the differential equation y' -()y = 2+G) t If y(0) = yo, find the particular solution to…

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

Q: 5. Solve the differential equation with method of undetermined coefficients. y" + 2y' – 3y = x + cos…

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Q: 1. What can you say about a solution of the equation y' = 49y² just by looking at the differential…

A: Given that : y' = 49y2. This is a differential equation and we find solution of this differential…

Q: 2. Form the differential equation from the family of curves y² = Ax² – Bx² , where A and B are…

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Q: 4 By using separable variable method, find the general solution of the differential equation dy _y…

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Q: Find the general solution of the differential equation y + 18xy* = 0 using separation of variables.…

A: hello greetings from bartelby.i am here to help you.

Q: а) у +у — 1 y' +y = 1

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Q: 2.Form the differential equation from the family of curves y² = Ae³* + Be* , where A and B are…

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Q: 3. Show that the differential equation zxy

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Q: Show that the differential equation dy -2 - yezy dr rezy – 2y is exact and find its solution. 3.

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Q: Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt…

A: To Determine -

Q: 3. Given that y = 1 when x=-1, find particular solution to differential equation dx dy – 3x²y² =…

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Q: Find solution of differential equation. у"+ftanx)y-e^x, У(О)-1, у (1)-0

A: The differential needs to convert in the standard form.

Q: 2. Form the differential equation having y=(sin-x)²+ A(cos-lx)+B. where A and B are arbitrary…

A: Introduction :

Q: obtained in factored form a linear differential equation with real constant coefficients that…

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Q: Find particular solution of the differential equation dydx-2x+13=4x+1y , given x=0, when y=0

A: I have solved using integrating factor

Q: 13. Obtain the differential equation of the family of straight lines at a fixed distance p from

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Q: y" – 2y' + y = -3 - x+x².

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Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = a sin æ +…

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Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = aeª +…

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Q: 3) Find the solution of the differential equation y = -ry + (/')².

A: The given differential equation is. y=-xy'+y'2                                .........1 This can be…

Q: What is the General and Particular solution of the Differential Equation 2x(y+1)dx-ydy=0? Where x=0…

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Q: 4. Obtain the Differential Equation from the family of curves of the form y = xC

A: To form a differential equation from given family of curves. Differentiate given family of curves…

Q: Solve Bernoulli's Equation y(2xy+e )dx-e'dy 0 to reduce into Linear 01 Form of Differential…

A: As per bartleby expert policy only one individual question is to be answered. Kindly repost…

Q: Solve Bernoulli differential equation of y + ry = ry².

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Q: Solve the Differential Equation using METHODS OF UNDETERMINED COEFFICIENT: y''+y'-3y=4sin2x

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Q: 4. The Bernoulli's form of the differential equation x²dy + (2xy-y³)dx=0 is

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Q: Obtain the Differential Equation from the given general solution. y = C¡ cos(4x) + Cz sin(4x) + Cx…

A: Use the following formula, to find the solution. ddxcosax=-asinaxddxsinax=acosaxddxuv=udvdx+vdudx