Which of the following equations is variable separable? O a. dy y²+2zy zp O b. r(y+ 1)²dx + (r²ye" + ye")dy = 0 O (z² + y²)dz – rydy = 0 O d. (3z? – y²)dx – 2rydy = 0

Q: Solve the pollowing: り ( 2+J(xtjy) X=? ye! (b) (2+j)(3-j2) = a+jb a:? b:? (C) (メ-j2y) -(y-jx)-2j x=?…

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Q: If y(t) = c1e -2t + Cze 2 + 2et is the general solution for 2y" + 5y' + 2y = h(t), then h(t) = %3D…

A: The given question is solved below.

Q: If y(x) is a solution of xy" +(1-x)y' +6y = 0, find the value of y'(2). %3D

A: Given differential equation is xy'' +1-xy'+6y=0 -----(1) Also,  y'' +1-xxy'+6xy=0 Here,  limx→0…

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Q: (a) 2+j - j(x+jy) メ=? y-? 1-j (b) (2+j)(3-j2) = a+jb a=? be? ((メ-j2y) -(y-Jx)-2) x? y?

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Q: Find the general solutione (3xy — 4y3 + б)ӑх + (x? — бх*у? — 1) dy %3D0 а. (х +у-2)? %3D с (х — у +…

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A: The given equation is ∂2u(x,t)∂t2=7∂2u(x,t)∂x2. Solve the equation by using separation of variables.…

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Q: Which of the following is a solution to xy" + y' = 0 ? y = = 1 y = x3-x O A y = In x %| O D В

A: A function y = f(x) is said to be solution of the given equation  xy" + y' = 0  ...(1) if  y = f(x)…

Q: Q5: Find the solution of the following D.Es: 1- x + 5y = x7 at x = +5y 2- y" + 4y + 2y = 13e³x 2, y…

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Q: Which of the following equations can be reduced to be a separable equation? 1. (22 + ry? - y)dr +…

A: We will check whether we can reduce the given differential equations in variable separable form

Q: Which of the following is the solution to y" – 5y' – 24y = 0 %3D a) y = Ae-3x + Be-8x b) y = Ae3x +…

A: To find the correct solution, we will all options one by one (a) y=Ae-3x+Be-8x    →(1)…

Q: R. D. Y IE PR = 6 and AY = 12, find CD. %3! %3D Solution: 2. If PR = 9, CD = 14, find AY. %3D %3D…

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Q: Let y1, Y2 be two independent solutions of (t – 1)y" – ty' +y = 0. If W(y1, Y2)(2) = e² , then W…

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Q: 5. Which of the following equations is not a variable separable? dy dy ry + 3x - y - 3 ry – 2x + 4y…

A: To write the equations which are not a variable separable differential equation.

Q: Which of the following equations is/are exact? b 32 ydx + (2a'y+ 4y) dy = 0 %3D O (ry + 1) dr + (ry-…

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Q: 8. For what values of x and y will both equations be true? 3x - -= y, 2y = x + Drag and drop the two…

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Q: Let y1, Y2 be two independent solutions of (t – 1)y" – ty' + y = 0. If W (y1, Y2)(2) = e² , then…

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Q: 2. Solve for the values of w(t), y(t) and z(t). w" - y + 2z = 3et -2w' + 2y' + z = 0 2w' – 2y + z' +…

A: Given system is w''-y+2z=3e-t-2w'+2y'+z=02w'-2y+z'+2z''=0with   w0=1, w'(0)=1, y0=2, z0=2, z'(0)=-2…

Q: Which of the following equations can be reduced to be a separable equation? I. (z- y ln y + y In…

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Q: Which of the following equations are separable? adß+ Bda + aßB(3da+dB)3D0 ( +1)y'= y 2x IL IIL…

A: A differential equation is said to be separable if the variables can be separated. That is, a…

Q: Let y1, Y2 be two independent solutions of (t 1)y"- ty' +y = 0. If W(y1, Y2)(2) = e2, then W(y1,…

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Q: Let y1, Y2 be two independent solutions of t?y" – 2y' + (t + 3)y = 0. %3D If w(y1, y2)(2) = 3, then…

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Q: Which of the following equations is the DE whose solution correspond to y = C1sin3x + C2cos3x + 9x²…

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Q: Rewrite the following equation with the variables separated. 3√t + y² dy = 6 dt o y² dy = (6 + 3√t)…

A: Please see the below picture for detailed solution.

Q: Which of the following equations is not a variable separable? dy dy ту + 3х — у — 3 (a) e30+2y (b)…

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Q: If y1 and y2 two solutions of (1 – a²)y" – 2xy' + n(n+1)y = 0; -1<x < 1 Show that W (y1, Y2) : 1-…

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Q: Fnd the solution of follo wing ordinay differentral equation yl" -3y'+2y=2xfte*+2xe*+4e° %3D

A: We have to solve the differential equation

Q: By making the change of variables u = 2, v = x, find the general solution of yfyy +fyx + fy = 1.

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Q: Which of the following equations is variable separable? a. (x2 + y?)dx – xydy = 0 O b. (3x? – y?)dx…

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Q: Which of the following equations can be rearranged into separable equations? O y – y? = t - O y +…

A: y' + yt² = t² can be written as separable equation as : y' = t² - yt²  So, y' = t²(1-y) So, dy/(1-y)…

Q: dz (D² + 16)³(D² + 4D – 5)²(D² + 2D – 3)4z = 0, Dz = dx

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Q: Which of the following equations is variable separable? O a. (3x2 – y?)dx – 2xydy = 0 O b. (2² +…

A: An equation is called variable separable if we can separate the variables x and y.

Q: Which of the following equations is not a variable separable? ту + 3х — у — 3 ry – 2x + 4y - 8 dy dy…

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Q: Which of the following equations is variable separable? O a. (3a2 – y²)dx – 2aydy = 0 O b. (z² +…

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Q: 9. Which of the following equations are separable? Write those that are separable in the form y' =…

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Q: Find the general solution of the following: 1. (D² – D – 2)y = 0 2. (D² + 3D)y = 0 3. (D² – 5D) + 4y…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Which of the following equations is variable separable? O a. (x² + y²)dx – xydy = 0 O b. dy dz…

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Q: Which of the following below is NOT an ordered pair solution to f(x) = Vx+7 O (-7,y) O (-8.y) O…

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Q: 5. Which of the following equations is not a variable separable? dy (a) y – 3 xy – 2x + 4y – 8 dy XY…

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Q: C. Find for the general solution of the following DE. 8. (D3 + 3D2 – 4D)y = 0 9. (DA + 6D3 + 9D²)y =…

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Q: Which of the following equations is variable separable? dy O a. dz y²+2xy O b. (3x? – y²)dæ – 2xydy…

A: A separable differential equation can be written as dydx=fxgy. A first order Bernoulli ordinary…

Q: Which of the following equations can be reduced to be a separable equation? 1. y +y?dx - x(x + Va2…

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Q: Which of the following equations is not the DE of the solution correspond to y=C¡ e²x + C2 e4x 2xe2x…

A: given the solution of differential equation that is y=c1e2x+c2e-4x+2xe2x we need to find which…

Q: Find the particular solution: t- 2y 2t3, y(-2) = 4 dy %3D OA y (2t+ 3)t2 OB. y (t+2)t² OC. y (t+3)t2…

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Q: Which of the following equations is variable separable? dy y?+ 2zy O a. dz O b. (3a? – y?)dx – 2xydy…

A: To find which of the given equation is variable separable. Q

Q: Obtain the particular solution of (3x² – 2y²)y' = 2xy when x = 0,y = 1. a. x2 = 2y² (y + 1) c. x2 =…

A: Let's find.

Q: Find the solution to I' : y' 10z + 3y %3D if z(0) = 0 and y(0) = 9. z(t) = help (formulas) y(t) =…

A: We have to find all eigenvalues and corresponding eigenvectors for the coefficient matrix of the…