Associate the systems with its solution curves: 1. x'=cos(x) y'=sin(x) 2. x'=cos(x) y'=y 3. x'=cos(x) y'=x 4. x'=cos(x-y) y'=sin(x-y) 4 3 > < 1.0 0.5 0.0 -0.5 -1.0 -1.0 -0.5 0 X 0.0 X 2 0.5 1.0

Q: y''' -3y'' + 3y' -y = (e^x)(x+1) find the general solutions of this diff eq

A: Given differential equation is y'''−3y''+3y'−y=exx+1 Write the auxiliary equation  m3−3m2+3m−1=0…

Q: x' = (C )x ´sec X + 0, 1

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Q: y''-7y +10=0, y(0)= 2 and y'(0) = 4

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Q: Solve: у" + 5у'" — 2y' - 24у — 42е 5t 2y' — 24у 3D 42e — 2, у'(0) — — 6, у'"(0) —D — 30 | | | y(t) =

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Q: 1. Find y' by implicit differėntiation. xy + 4x + 5x² = 3 %3D Select the correct answer: a. y':…

A: In implicit differentiation write y' interns of x &amp; y.

Q: y''y^2+2y(y')^2 =1 find the solution

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Q: Solve y'' + y' — 6y = 0, y(0) = 8, y'(0) y(t) = = - 9

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Q: y' =xy

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Q: y'-(2/x)y=(y^3)/(x^2) find the solution that satisfies y(1)=1

A: The given differential equation is

Q: Find y' if y= y' = 4 x5 - 6x² +7 2 X

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Q: 3. x'= -2tx + y, y'= 3x-y

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Q: Set up the appropriate form of a particular solution yp of the dif- ferential equation…

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Q: Solve: y'"' + 4y'' + 5y' + 2y = 0 y(0) = 4, y'(0) y(t) = = 4, y''(0) = 5

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Q: Solve for y(x):

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Q: Isn't this a Bernulli equation: y'+p(x)y=q(x)y^n   -->     y'=q(x)y^n - p(x)y y'-y/x = x^3 (y-x)^2…

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Q: y"' + 3y" + 3y' = y y(0) = 7, y' (0) = -7, y" (0) = 11 %3D

A: Given: y'''+3y''+3y'+y=0 To find: y

Q: x'+1 y3= r+1 1. and x+3y = 7 %3D

A: Please refer the attached image for complete solution.

Q: The solution of the IVP, y' = -2xy, y(0) = 2, is: %3D

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

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Q: Solve IVP: y'''+4y'=x, y''(0)=1; y'(0)=0.

A: Given : y'''+4y'=x

Q: 8) y'+y=17 sin(2t), y(0) =-1.

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Q: 2. (x2) y = y+2(x2)

A: Topic = Differential equation

Q: Find the particular solution for ysqrt(1-x^2) * y'-xsqrt(1-y^2)=0  when y(0)=1

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Q: Find a particular solution to y"+3y'+2 y = x² - 3.

A: Given that,         y"+3y'+2y=x2-3  ⇒D2y+3Dy+2y=x2-3 Where, D=dydx ⇒D2+3D+2y=x2-3  Let, FD=D2+3D+2…

Q: 2.ryy' = y? - 2x. Find the solution that passes through the point (1,2).

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Q: y(4)+3y'''+2y''=12x2 High nonhomogeneous equations

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Q: 1) y" + 4y = 4 sec (2x) 2) y" + y = csc(x)

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Q: Find y' and y'' given x2 +xy +y2 =1

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Q: For the given ODE: ) Convert the higher order ODE to a first order system in matrix form. i) Solve…

A: iwe have, y''+3y'+2y=0 Put x1t=yt x2t=y't ⇒x1'=y'=x2x2'=y''=-3y'-2y       from i…

Q: y''=2x(y')2 , y(0)=4, y'(0)=−1

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Q: y”+y’=0; y(0)=-4 , y’(0)=6

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Q: Solve the non-homogenous system Sa' = -x – y+ 3/2 ly = 2x – 4y Find lim-00 r(t)

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Q: y as a function of x if '(1) = −2. x²y" +19xy' +81y = x5,

A: Given that the differential equation is                                      To find 'y' as function…