Solve x'(t) + 3x(t) + y'(t) – 4y(t) = - 3z(t) y'(t) – y(t) +x"(f) = 0 2x'(t) + z'(t) = x(t) + z(t) where x(0) = 0, x'(0) = 1, y(0) = 0, and z(0) = 0, find z(2).

Q: What are the P(x) and Q(x) of y' =y-xy³e2Xrespectively?

A: Given the differential equation is: Since

Q: Solve: y''+ 6y' +5y = 20t + 39 y(0) = - 4, y'(0) = 19 | y(t) =

A: The solution is given as

Q: If y = Vx? – 2x then y' 2(x-1) 3x2-2x %3D

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Q: max value for y

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Q: Find y as a function of a if y(0) = 7, y'(0) = 4, y"(0) = 133. y(x) = y" - 8y" -y + 8y = 0,

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Q: ' (x² +2)+4x(y² +2y+1)=0, y(0) =1.

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Q: Use Exact, Then solve (1 = In(x) +)) = (1 – In(x))y`

A:

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find y'' in y = x(2x + 1)4

A:

Q: Show that the function f(t) = 1² – } is a solution of the dif- ferential equation (y')² – 4y = 2.

A: Given:       f(t)=t2−12.Differential equation is: (y')2−4y=2

Q: y''(t)+5y'(t)+4y(t)=u(t) u(t)=2e-2t , y(0)=0 ,y'(0)=0 Y(s)=?

A: The solution is given as

Q: Let h(x)=f(x)g(x) where f(x)=−4x^2−5x+1, g(1)=−5, and g′(1)=−4 what is h′(1)?

A:

Q: Solve the IVP y"(1) +y'(t)- 2y(1)= 2e' sin(t), y(0) = 1, y'(0) = 1. %3D

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Q: If R'(x)=250-18x and R(0)=0, find R(x)

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Q: y' = 3x²+y² xy ; given that y(1) = 1 ; solve for y when x = 2

A: The given equation is; y'=(3x2+y2)/xy, y(1)=1.

Q: Solve u' (t) + u(t) = 5 subject to u (2) = -2. 85 Provide an exact expression (i.e. no decimal…

A: Question - solve u'(t) + u(t) = 5 subject to u(2)=-2

Q: Find y" * y" at (1,1) of x'y =1

A: We have to find derivative

Q: Solve y'' - 4y' + 29y = 0, y(0) = 3, y'(0) = y(t) = 9

A: The given differential equation is; y''-4y'+29y=0, y(0)=3, y'(0)=-9.

Q: The y' for y = (x³ +

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Q: Solve y'' + 4y' + 4y = 0, y(0) = 3, y'(0) = y(t) = 9

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Q: f (x) You are given h(x) = f(g(x)); p(x) = f(x)·g(x); q(x) = g(x) and the following values f(2) = 1,…

A: Given : hx = fgxpx = fx·gxqx = fxgx

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

A: Please refer the attached image for complete solution.

Q: Find y'

A: given

Q: Find the GS of 2 (x - α)² = where a is an arbitrary constant and you may want to consider "pilot" y₁…

A: As per the question we are given the following nonlinear first order differential equation…

Q: y (2 xy +1)= xy'

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Q: If g(x) = , what is g'(x)? 2x-1 x²+3x '

A: