1. Obtain the general solution by the indicated technique: 1.1 adß+Bda+aß(da+dß)=0 separation of variables 1.2 (3x-1)y' 6y-10(3x-1)3 linear equation of order one

Q: 111 I + 3y" + 3y + y = 0 How many linearly independent solutions would you need to find in order to…

A: given differential equation  y'''+3y''+3y'+y=0  here order of differential equation is 3.

Q: x²y" + 2xy' – 2y = 0; x > 0; y = y(x) (1) 3. Determine if the two solutions in Questions 1 and 2 are…

A: The general form of a second-order homogenous linear differential equation is given by…

Q: es of the form rar, s = x+by, wher comes u, = u. e solution of u, -uy = u with u(0, y

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Q: Non-homogeneous Linear Equation with Constant Coefficients 4. Find the solution of (D2-4)y=4x-3e%.…

A: As per our guidelines we are supposed to answer only first question, so i solve question number (4)…

Q: 2. (3ху + Зу — 4) dx + (х + 1)? dy %3D 0. ANS. у 3D 2(х + 1)-1 + c(x + 1)-3.

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Q: dy +x²y = xe²" +4x'y = xe

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Q: x + 4) (y + 1)) dx + (y (x +3x + 2)) đy = 0

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Q: Rewrite the following linear equation as a system of first order equation of the form y' = A(t)y +…

A: We have to convert the given equation as a system of first order linear differential equations.…

Q: 1. Describe each of the following equations, giving its order and telling whether it is ordinary or…

A: 1)Given DE is y"+3(y')2+4y=0. We find it's order and decide whether it is ordinary or partial and…

Q: Find the general solution of the D.E (y^2 – 2xy + 6x)dx – (x^2 – 2xy + 2)dy = 0 Show your solutions…

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Q: s of stick t

A: Given that it needs 5meters of stick to make a picture frame.

Q: Use the linear method to solve: xy' - 6x²y = 3x²; y(0) = 3

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Q: M₁=0.0.85.fe'.a.b.d- -(480-2) 200-106 = 0.9.0.85-20.7. a 300-480-

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: I. For each DE, identify the type, give the order, degree and determine whether linear or nonlinear.…

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Q: y = C¡e e-2= + Cze³* + C2e%

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Q: Find the general solution of the D.E. (y^2 - 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

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Q: 4. 3√(1 +¸y″)² = [2x*y³ + (v″)*]

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Q: DE 2 1. xy(5)-(4) + x²y"" = 2yy' TYPE ORDER DEGREE LINEARITY

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Q: Ex. (9) Sol:- Solve 3y"-2y'+y= 4x+2

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Q: solve

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Q: a) y2 + (y-1)y' - y = 0,

A: According to guidelines we solve only one question. Thanku

Q: What is the general solution of the   uyy=4x2u+yx2ex equation.

A: As per the question we are given a nonhomogeneous partial differential equation as : uyy = 4x2u +…

Q: 5) x2. dx = x² + 3xy + y², (c) dr = 2 = 3v, + 3x' (d) (1 - y)' + By - 5x = 0.

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Q: (9) Solve the following diserental equation dy dx 2 3+y 3.x 3-y = (9x - y²x), y(0) = 0 Answer: = e

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Q: 1. Give the order and classify the following equations as (i) homogeneous linear, (ii) inhom geneous…

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Q: hird-order Euler equation is one of the form ax y"" + bxʻy" + cxy' + ky = 0, where a, b, c, and k…

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Q: 1 y" +y+y=x²-2x 4

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Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: 2.c) Eliminate the Arbitrary Constants in the equation: * y – x = C1e* + Cze-2* -y" - y + 2y - 2x +…

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Q: y" - (y") = 0 denkleminin çözümü aşağıdakilerden hangisidir? %3D O a. y = +(2z + c1)2 + czz + C3 %3D…

A: subtitute y'=v where v is the function of t v''=V'3 v=2it+c1+c2 y'=2it+c1+C2 y=c2t+c3+i22c1+t3/23…

Q: Solve the Cauchy-Euler equation: x*y' Зху + 4y = 0. %3D

A: Given Cauchy-Euler differential equation is

Q: I. For each DE, identify the type, give the order, degree and determine whether linear or nonlinear.…

A: 5. The given differential equation is ∂3ω∂z3-z∂2ω∂x∂y+2ytanω=0.

Q: The maximum number of linearly independent solutions of y" -2y"'+xy = 0 is 3. Select one: True False

A: y''''-2y'''+xy