y+1 =xy- all selutions ?

Q: ;y(0) = 1 form of yp to solve

A: As per the bartleby guidelines for more than one part only one has to be solved .Please upload the…

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)=0 Find y(0.1)?

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Q: Solve the given DE y'= X - x 3 — 2y 3 3ху 2

A: We have to solve the differential equation

Q: b. » [*[*(x²y + xy²³)dydx

A: Solution :-

Q: e a) y"+ by 19y x² + 1

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Q: O': what is the general solution of the equation. dy dr xy

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Q: (x+xy²)dxte*, ydy=D0

A: Given: x+xy2dx+ex2ydy=0 ⇒x1+y2dx+ex2ydy=0 ⇒ex2ydy=-x1+y2dx ⇒y1+y2dy=-xex2dx

Q: Test for exactness and solve (6xy3 + 4x'y5)dx + (3x°y² + 5x*y*) dy = 0

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Q: apply 4th order Runge-Kutta to solve the following value problem y = x^2 + y for h = 0.1, y(1)=1 and…

A: The given function is fx,y=x2+y And x0=1,y0=0.1 since the step size h is given as h=0.1. Now to find…

Q: Find the particular solution of y' = xey-x? given y(0) = 0.

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Q: Q4: Solve the initial value problem: ty = 2y +t %3D

A: The general solution is, y = y(t) = t³ + t²•C, where, C is the constant of integration.   The…

Q: x4+a* dx x3 5. S ydy Va?-y2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: How can we solve this separable equation? N(y) * dy/dx = M(x)

A: The given differential equation is, Where, N(y) and M(x) are the functions of the variable y alone…

Q: NOTE: Solve this as soon as possible, I need this urgently. Solve the IVP: (y + Vx² + y²)dx – xdy =…

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Q: [Q4] Applying the method of variation of parameters, solve x'y" - 2xy'+2 y = x' sin x

A: The solution is given as

Q: Find the general solution of the equation xy' = ky that is valid for x > 0.

A: We have to find y(x) for this equation which is valid for x>0. We use integration to solve this…

Q: ty" – (t + 1)y

A: The differential equation is given ty''-t+1y'+y=0. The one solution of the equation , y1t=et. Let…

Q: x³ Vx² + 1 dx

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Q: Solve * + 3x – 4x = 20t, given that at t = 0,x = 0 and %3D

A: Introduction: One independent variable and its derivatives are included in an ordinary differential…

Q: Q-1:B: Solve the initial value problem d?y + 4y = 8x2 ,y(0) = -3,y'(0) = 0 %3D %3D dx2

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Q: Use an appropriate substitution to solve the equation z15 and find the solution that satisfies y(1)…

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Q: (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y²)dx y(-1) = 1

A: Given differential equation x(x-y)dy= -(3xy-y2)dx   To test exact or not ,if it is exact then solve…

Q: Use variation of parameters to solve the general solution 1 (D² – 3D + 2)y 1+ e¬*

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Q: solve for y in terms of t or x, as appropriate.

A: given: lny=-t+5 we have to solve for y in terms of t or x, as appropriate

Q: Determine the general solution of y(1) = x - 2y cot (2x)

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Q: A. y– 2y +1 = (x + 1)e²x

A: To solve the given differential equation using method of variation of parameters.

Q: Evaluate: | (3y – 2)dx + y²dy C

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Q: 5. e²y$/1- e' dy

A: Solve the integration

Q: Q2. Test for exactness and solve (4x³y3- 2xy)dx + (3x*y² – x2) dy = 0

A: Topic- solution of differential equations in exact form . Note:- as per our guideline more than one…

Q: a) b) √ (x² + 2x) dx x+2 I X2 S dx √x

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Q: ydæ + (x'y4 – 3æ) dy = 0

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Q: 2. (6x + y²)dx + y(2x – 3y)dy = 0

A: In this question, we need to check whether the given equation is exact or not and then find the…

Q: Solve of the following equation 4 y' +y = x'y? Given by x3 In x – c -x3 In x + c O Option 1 O Option…

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Q: (i+z) dy 3. Solve (itx) 9

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Q: xydx - (x^2+3y^2)dy =0 Solve for general solution .(show complete solution)

A: Given, xy dx - (x2+3y2) dy =0

Q: y2 + 1 dy -2 (y – 1)2(y + 1) 1.

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Q: ydx + (2x²y - x)dy 0

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Q: () fo lve the IVe X = (, :)x, xc)= x(0) =

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Q: (x² – 1)y' + 2y = (x + 1)² %3D

A: Given: x2-1y'+2y=x+12

Q: 10 et e 2. dy et + e-¤

A: Given: The integral

Q: 2. Solve y"(t) + 4/(t) + 5y(t) = -2 cosh t

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Q: (Think homogeneous) Solve explicitly (y² - xy) dx + x²2dy = 0

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Q: 5. (y-2)dx-(x-y-1)dy 0

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Q: -13x b) y = S dx Integrate. x2-5

A: Explanation is given below..

Q: test for the exactness and solve the IVP, critically outlinethe particular solution. (x + 5exy)dx…

A: Given differential equation is x+5exydx-exdy=0, y0=-2

Q: 2 = 3x° (7 + y²) dx

A: Here equation is separable so w separate them and apply integration.

Q: -1+ 2x 11 If PR = 3x + 3, solve for x. %3D Our answAwer R.

A: PR=3x+3   PQ=-1+2xQR=11

Q: Apply Variation of Parameters to find the general solution. e* у"- 2у'+ у 3 1+x?

A: Given y''-2y'+y=ex1+x2

Q: | 8(x + 1) (2x2 + 4x – 1) dx 3/2 5.

A: For the given integral- I=∫8x+12x2+4x-132dx Let u=2x2+4x-1 Differentiating w.r.t. x to both sides-…