(y+x*y²) dx +x dy = 0 5.

Q: dy 4x2-х-2 : У(1) %3D 1 dx (х+1)(у+1)

A: Explained below

Q: The general solution |dy(x) He )-Ax+ 2y-1 to the equation dx O True OError

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Q: Obtain the general solution to the equation. dy y 5x +1 + dx The general solution is y(x) = ignoring…

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Q: SIder ne DE dy dy 6y = 12x, y(0) = 1 dx dx? Ae2 1 is a solution of the DE and determine Verify that…

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Q: Solve for the general solution of the given non-exact DE. y(2x + y?)dx + x(y² – x)dy = 0

A: The given differential equation:y2x+y2dx + xy2-xdy=0We need to solve the above equation.

Q: Find the solution to the DE. (y- x+ xycotx)dx + xdy=0

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Q: Solve the Bernoulli equations given below dy, y dx 2x %3D

A: Given:

Q: Obtain the solution of the dy 1 1.x- + y = dx dy y2

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Obtain the general solution of the equation d'y +6 dx dy ? + 10y = 50x dx %3D

A: Given : d2ydx2  + 6dydx+10y = 50 x

Q: If yo is the particular solution of dy 4x y, y(0) = 3, dx find the value of yo(2).

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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: 3y?dx + [2yln () + 3siny] dy = 5x %3D 1, у %3D0 x2+3x +3,

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Q: H.W: show that the equations are homogeneous and solve: 20 2. x² dy + (y² - xy)dx = 0

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Q: Determine whether the equation is exact. If it is exact, find the solution.  dy/dx=−(Ax−By)/(Bx−Cy)

A: Given differential equation is  dydx=-Ax-ByBx-Cy It can be written as…

Q: Q6) Solve the following DE: dy -5y 0 dx

A: Given : dydx-5y= 0 Now, 1ydydx = 5

Q: d.) (y³ + x ln ) dy + (y In ) dx = 0

A: we have to find

Q: H.W. // Solve dy - 3y = x? dx

A: Given  dydx-3y =x2Given equation is of the form dydx+py = Qx   I.F = e∫pdx∴solution of differential…

Q: Solve the IVP (1/x + 2y^2x)dx + (2yx^2 - cos(y))dy = 0, y(1) = pi. Give an implicit solution.

A: Consider the differential equation 1x+2y2xdx+2yx2−cosydy=0.........(1) Compare the equation (1) with…

Q: Obtain the general solution to the equation. dy y dx = - + 5x + 6 X The general solution is y(x)=,…

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Q: Solve an exact equation?  M(x,y) + N(x,y)*dy/dx = 0

A: Given: M(x,y)+N(x,y)(dydx)=0

Q: (1+ y²)dx + (x²y + y)dy = 0

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Q: M(x,y) + N(x,y)*dy/dx = 0 ? is it Exact Equation?

A: Consider the equationMx,y+Nx,y×dydx=0provided that there exists a function ψ(x,y) such that∂ψ∂x=Mx,y…

Q: Obtain the general solution unless otherwise instructed d²y 1. dx2 - y = 10sin²x

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Solve the Euler equation d²y dy 3x? dx -5у%3D0 +x dx given that y(1) =1 and y'(1) = 2.

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Q: (b) Use the substitution u = x In y to solve the equation (ry + 2ry In² y + y In y)dx + (2x² In y +…

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Q: (b) I xy(z +2) dx dy dz

A: We need to evaluate the given triple integral. Note the integration result ; ∫undu=un+1n+1+C , C is…

Q: Obtain the general solution to the equation. dx + 4x = 2y7 dy The general solution is x(y)=,…

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Q: SOve the exact DE and Give the general Solution. ay-3x)y'-3y=D0

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Q: Obtain the general solution to the equation. dy y + 2x + 1 dx X The general solution is y(x)=,…

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Q: (1 + y²) dx + (x²y + y) dy = 0.

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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: dy Determine given: dx ax*y3 – bxy = 36 where a and b are constants.

A: Given query is to find the derivative of the expression.

Q: d³y d?y dy dx3 dx3 - y = 4 sin x dx

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Q: 1 dy 8. 2 dx у +1 (сosx) ;У(п) — 0

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Q: Use the d'Alembert solution to solve 1 0u 9 dx2' u(x, 0) = cos? x, u(x,0) = e"+1. -0 0, t > 0,

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Q: Show if the following statement is true or false. If it is true, write TRUE. If it is false, write…

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Q: 1 (x + y )dx = xy²dy

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Q: Obtain the general solution using Bernoulli's equation. Simplify your final ansv answer. ix- 6* dy =…

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Q: Obtain the general solution to the equation. dy + 9x +8 - dx The general solution is y(x) = ,…

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Q: Q1) solve all these first order diff questions with appropriate method of solutions dy _ y²+xy?…

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

Q: Solve the general solution dy = 1+x + y? + x²y? %3D dx

A: Given,           dydx=x2 + 1 + y2 + x2y2

Q: Find the particular solution of (xcos? - y) dx + xdy = 0 ; where y and x = 1 - у %3D = - 4

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Q: Solve the diffrential equation.(pls step bu step and clearly) (d/dx+2x)(dy/dx+2xy)=2e^(-x^2)

A: We have given differential equation is…

Q: Solve the Euler equation 2r dy 2.x dx? -3r given that y(1) =1 and y'(1) = 2. +3y 0 dx jntaios

A: To solve given differential equation first we write the auxiliary equation and find the roots and…

Q: (ylny – e¯xy)dx + ( + xlny) dy = 0

A: Solution :-

Q: Solve the equation. (+5x) dx+ e*y dy = 0 An implicit solution in the form F(x,.y)% C is =C, where C…

A: To solve: The equation x3+5x3y4dx + ex4y3 dy = 0 .

Q: 11. (x In y + xy) dx + (y In x + xy) dy = 0;

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Q: Solve the equations by variation of parameters. d2y/dx2 -dy/dx = ex cos x, x> 0

A: d2ydx2-dydx=excosx