(16x + 5y)dx + (3x + y)dy = 0,when x = 1, y = –3

Q: Solve the differential equation dv dt − 2tv = 3t2 et2 , where v(0) = 5.

A: Solution: Consider the differential equation dv/dt -2tv =3t^2 e^t^2

Q: solve the linear homogenous differential equation with constant coefficients:  (D^4-8D^2+15)y=0

A: The given differential equation is: D4-8D2+15y=0 or D4y-8D2y+15y=0 Let y=emx is the solution to the…

Q: solve the differential equation by any method y" + 3y' + 2y = 6(t-5) +u(t-10); y(0)=0, y'(0)=1/2

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Q: differential

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Q: Determine The Equilibrium Solution (Ranking It) And Solve The Ordinary Differential Equation p= p*(a…

A: Given:-dpdt=p2(a-bp)  where a,b>0. To find:- (1) Equilibrium solution of the ordinary…

Q: Give the order, degree, and identify if the differential equation is linear or nonlinear. k = y”/(1…

A: We have given differential equation: k=y"1+y'232 It can be written as; k1+y'232=y" Taking square on…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: solve the differential equation p2-7p+12=0,where p=dy/dx

A: To solve the differential equation  p²-7p+12=0

Q: Find the general solution to the differential equation xy' = -2y Give the explicit form of the…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 12e* - 12 y(x) =…

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Q: Solve the differential equation d2 y/ dx2 + 4y = e3x

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Q: Q6. Determine the order, degree and state the linearity of the following differential equations: a)…

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Q: Write the differential equation in linear form. Solve the equation and write y as an explicit…

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Q: Solve the differential equation. (Assume the independent variable is x. Use c1 and c2 to represent…

A: Write auxillary equation  I.e D = m  Then find roots

Q: Determine the order of the given differential equation and state whether the equation is linear or…

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Q: Solve the differential equation x²y" - 3xy' + 4y = 0, y(1) = 18, y'(1) = 9. Then evaluate the…

A: The given problem is to solve the given euler differential equation with given initial conditions…

Q: Determine whether the differential equation (2x² − 2xy + 3) dx + (2y² − x² + 2) dy = 0 is exact. If…

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Q: Check that the differential equation is linear and find the general solution Y'-(6/X)Y = x^4

A: Given differential equation is y'-6xy=x4 which can be written as dydx-6xy=x4. We have to check…

Q: -2x y = C1e¯ª + C2e¯2¤ + x

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Q: Solve the given differential equation by undetermined coefficients. " + y' + y = x? - 4x ,-2x +x². 9…

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Q: Solve the linear differential equation of y' – 2xy = r.

A: Answer :The given differential equation is y'-2xy=xIt can be written as dydx-2xy=x    -(1)

Q: V1- y?dx + V1- x²dy = 0

A: Proceed as shown below

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Solve the differential equation (D³ – D² – 4D+4) y = xe² +e3z

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Solve the differential equation = 6x-2y by using the substitution u = Ax+ By +C. dx State the answer…

A: We have to solve the differential equation…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: p² + p – 6 = 0

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' 3y = 4ex - 12 y(x) =…

A: The given differential equation is.; y''-2y'-3y=4ex-12.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Write the differential equation and then determine whether you have overdamped,critically damped,or…

A: Introduction: The differential equation of motion of an unforced damped harmonic oscillation is…

Q: Part I Determine whether the given differential equation is exact. If it is exact, solve it. 3 + x…

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Q: Determine whether given differential equation is exact. If it is, find the solution. (5y – 2x) y' –…

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Q: Solve the Differential Equation-Homogeneous Linear Differential Equation   (D4+5D3+6D2-4D-8)y=0

A: NOTE: Refresh your page if you can't see any equations. . auxiliary equation is  here we have…

Q: L" + 2x" – x' – 2x = et Write the equation as a 1st order linear differential equation system and…

A: Given equation is  x'''+2x''-x'-2x=e3t                                                (i) Let…

Q: xy'= y + 2x ,3

A: Given xy'= y+ 2x3  be a linear differential equation. We solve it by method of separation by putting…

Q: (2æy² + 2y) + (2a²y+ 2x)y' = 0

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Q: Give the order, degree, and identify if the differential equation is linear or nonlinear. m y dx +…

A: Consider the given differential equation mydx+nxydy=0, where m and n are constants. Here, the…

Q: (t - 5)'y"-2(t-5)y' + 2y = 0, t>5, V = (1- 5)

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Q: y dx + (3x -

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Q: Solve the differential equation: (p+2x)(p+y+x)(xp+y+x)=0

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Q: Solve this differential equation (6x+1)y2dy/dx +3x2+2y3=0

A: Given differential equation is Comparing it with Mdx+Ndy=0, we get Since,  Therefore, given…

Q: Solve the differential equation: p2+2pycotx=y2

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Q: -dy x + 3y²/x2 + 1- = 0, dx y(0) = 1

A: The given differential equation is a variable seperable equation which can be solved as shown...

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: b) Solve the differential equation dx² + 4y = e".

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Q: Determine whether the differential equation xy" - 12y - 32y = 0 s linear or nonlinear and find its…

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Q: (y² + 7xy + 16x²)dx + x²dy = 0,when x = 1, y = 1

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Q: Solve the Differential Equation (D² – 4D+ 3)y = 3+ x- 2e* %3D

A: See picture

Q: Solve the differential equation. (t-8)°s'+4(t-8) s=t+8, t>8

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