Q2:-/ Use a variation of parameter method to find a particular integral of the equation x?y" - 2xy' + 2y = x In Ixl, %3D Given that yi=x, and y2=x² are two solutions of the related homogeneous equation.

Q: Eric invest $1050 every year in an annuity that pays six. Six interest compounded annually. Payments…

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Q: Find solution to (4-x²)y'-3x²=2xy with initial value (-sqaureroot 3,2)

A: Topic:- differential equations

Q: b) Evaluate S(2y + 4z)dx + (2æ + 3z)dy + (4x + 3y)dz, where C is the curve given by r(t) = for 0 <t…

A: given ∫C2y+4zdx+2x+3zdy+4x+3ydz where C is the curve given by rt=t3,2sinπt2,3cosπt2 for 0≤t≤1…

Q: Use properties of the linear transformation T(x, y) = (3x − 2y, x + y) to determine if the matrix…

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Q: Solve for the first-order DE: y’+y-y^2(cos2x-sin2x)=0

A: Solution: A first-order Bernoulli ODE has the form of y' + p(x)y =q(x)yn Rewrite the form of…

Q: dy/dx − x^3 = 0 where y(0) = 5

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Q: Q3 Check the symmetry and graph the curve in polar form if 0 = 0 and equal 1/6 to 1/2 at increments…

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Q: [." T 0 15 30x-x² 9√x²+y² dydx =

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Q: Y"-2y'+2y=e^2x(cosx-3sin) by using variable coefficients

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Q: 3. у' %3D 2ху — х

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Q: Find all the regular singular points of 2x(x + 2)y" + y' – cy = 0. Determine the indicial equation…

A: Singular point are the values of x that make P(x) equal to zero.  Here,  Px=2xx+2The singular point…

Q: Find the solution of the D.E. xydx - (x? + 3y) dy = 0 Show your solutions on a separate sheet of…

A: Given differential equation is xydx−x2+3y2dy=0....1. We have to find the solution of the given…

Q: Obtain the general solution valid near the origin: 8x^2y" + 10xy' − (1 + x)y = 0

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Q: Verify that the function u=e(-α^2)t sin x is a solution of the heat conduction equation ut = α2uxx

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Q: Evaluate the general solution of the differential equation using the variation of parameters method…

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Q: find a particular solution to: y''+5y'+4y=8te^(2t)

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Q: Xy'+2y = 8x-2,x>O

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Q: Solve by Integrating Factor: y' = 1+3y cotx

A: The solution is given as

Q: 3x'y"+2xy' = 0 %3D

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Q: x^2(y')^2 + 2xyy' -15y^2 = 0. Find general solution

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Q: Solve 2cos^2(t)+3cos(t)+1 = 0` for all solutions 0 <= t < 2pi'.

A: To find solutions for the given equation substitute cos(t) = x amd convert the given equation in to…

Q: find the complete solution of the DE y''-2y' + y = e^x/x using MVP.

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Q: olve: y" +10y" + 29y' = 0 Dy=C₁+C₂e-2 cos5x + C3e-2 sin5z Oy=C₁+C₂e cos2r + Czez sin2z Dy=C₁+C₂e-5…

A: Solution to the differential equation

Q: Solve 24-4x²³/dx + xdy = 0 using the integrating factor M = 2² SPOXK

A: Solve 2(y - 4x2)dx +x dy=0, Using the integrating factor μ=e∫P(x) dx.

Q: 3+2x-x² -ldydx = 49T - 4. -9T -4T 4 - IT 25T 4.

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Q: x² +2 .3 x' +6x

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Q: Which of the following is a solution to the DE y" - 9y' + 18y = 0? O y = Ae^(3x) + Be^(-6x) O y =…

A: The objective of the question is determine the solution of the given differential equation and…

Q: %3D у — Зу + Зу - у %3D 4е" y y =

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Q: dy + ydx %3D = 3x²y?dx,

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