4. (y' — 5у) %3 х?е* — х е5x

Q: solve the differential equation using bernoulli's equation dy + ydx = 2xy2exdx

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Q: Solve the differential equation with discussion of setet soluilon? X g -y = x yR lin (x) %3D

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Q: yu Solve the above differential Equation y making tab lo and deri vatives to' compare fco-efticients

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Q: a. Classify and solve the first order differential equation y' = /2 +e'.

A: Answer  Linear differential equation is of the form         y'+Py=Q Where P,Q are function of t.

Q: Use undetermined coefficients to solve the differential equation y"" -y=e¹- x + 16.

A: We have given a differential equation ,  y''' - y = ex -x + 16 First we will find complementary…

Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: Solve the differential equation 4x(dxdt)=7, if x=10 when t=0.

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

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Q: Qs: Solve the fallow ing differential equations 2.

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Q: 3. y = Ci + C2 e- 4x

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Q: 3. Find the differential equation associated to the equation: y = C₁x²e³* +C₁xe¹ +C₁e¹*

A: Note:- Since you asked multiple Questions ,As per our policy we can solve first question  for you…

Q: 1. my' +y = my

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Q: Solve the differential equation. 4. y" + 8 y' + 16 y =0

A: Solution:Giveny''+8y'+16y=0To find the differential equationFormula:If α has double rootCF=eαx(Ax+B)…

Q: Solve the differential equation: y = 3x +log P.

A: Given equation is y=3x+log P Let us consider P as a constant and then dydx=ddx(3x + log…

Q: Solve the differential Equation: dy antsinzy-ncuszy

A: Solution

Q: Solve the given differential equation. 10 y' =

A: We can solve given differential equations with the help of variable seprable method-. in this…

Q: Solve the differential equation y" + 5y = -sec 5 x

A: See the details solution in below

Q: Solve the differential equation with clear steps

A: Given, system of differential equation is dxdt=3x-y-zdydt=x+y-zdzdt=x-y+z We can write it as in…

Q: Solve the differential equation y 2ху — х?у, у(1) %3D 2.

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Q: In the given question ,, determine whether the statement is true or false. If it is false, explain…

A: Given :                The function y = 0 is always a solution of a differential equation that can…

Q: Solve the differential equation by variation of parameters. у" + у %3 csc х y(x)

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Q: 5. A yeast grows at a rate proportional to its present size. If the original amount doubles in two…

A: To find in how many hours will it triple

Q: Solve the differential equation y'+25y=10y

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: Solve the differential equation y" = e" (y')"

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Q: 1. 7ху' — 2у + (E) - = 0

A: Given differential equation  7xy'-2y+xy6=0

Q: Solve the differential equation for y if (1+9x²) dx %3D

A: Here we have to solve the differential equations,  1+9x2dydx=1.................................(1)

Q: y' + 5xey = 0

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Q: In the given equation , determine whether the differential equation is linear. Explain your…

A: The given equation is 2-y'y=5x................(1)

Q: Solve the differential equation. y' + 7xey = 0

A: Topic = Differential equation

Q: (4)_y= 16e

A: We have to find solution

Q: Solve the differential equation for the motion of the spring 384x''+1152x'+864x=0   if x(0)=-2 and…

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Q: m the differential equation by eliminating arbitary const

A: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

Q: Solve the differential equation with the given values. y' − 3yx = 0 and y = 4 when x = 2

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Q: Find the solution to the differential equation dy/dx= (11xy)/((lny)^2) which passes through the…

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Q: Suppose that in a certain company, the relationship between the price per unit p of its product and…

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Q: 2. Solve the differential equation- + x, with y(1) = 1.

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Q: Solve the differential equation. y' + 5xeY = 0

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Q: Solve the differential equation: *=- 6x? + 2 with initial conditions (1, 10 ).

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

A: We have to determine that the given differential equation is exact or not. If it is exact then we…

Q: Solve the differential equation. y' + 5xeY = 0 %3D

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Q: yu+y=be" +bsinne +bsine.

A: Given DE is y”+y=6ex+6sinx solve the DE

Q: In a nursery, the reason for spreading a virus epidemic is equal to half of those who have not…

A: Number of children infected N w.r.t to time t in days dNdt=N Use variable saprable method to solve…

Q: Solve the given differential equation by variation of parameters. y" - y' = xe*

A: Given y"-y'=xex

Q: у - y' m+/my

A: Follow the steps below to solve a differential equation by the variable separation method. First,…

Q: (5) Solve the differential equation by variable dy separable x°y- csc y dx

A: A separable differential equation is any equation that can be written in the form y′=f(x)g(y). The…

Q: y' = ysecx

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Q: 4. Solve the differential equation y" + 5y = - csc V5x CSC

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