use the method of variation of parameters to find the general solution to the system.  v'(t)=-g - 5v(t) -120(h(t)/m) h'(t)=v(t) h(0)=100, v(0)=0

Q: ' (x² +2)+4x(y² +2y+1)=0, y(0) =1.

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Q: x' = (C )x ´sec X + 0, 1

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Q: y =  t2 + 2 t4 − 4t2 + 5 find y'

A: y= t^2+2t^4-4t^2+5  y = 2t^4-3t^2+5

Q: Solve for a linear equation? P(t)y'' + Q(t)y' + R(t)y = S(t)

A: We have to solve for a linear equationPty''+Q(t)y'+R(t)y=S(t)

Q: y' = (x - 1)(y-2), y(2) = 4

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Q: What physical systems might the Chini equation, y*y' + f(x) = g(x)*y, represent? Can you tell me…

A: The Chini equation, given by  y∗y′+f(x)=g(x)∗y , appears in various physical and engineering…

Q: (a) y" – 4y" + y' + 6y 0. (b) y" – y" + 2y' = 0.

A: General solution for the Homogeneous differential equations with constant coefficients

Q: 7 0-3 -9 -2 3 18 0-8 y, y(0) = 2 3

A: Given y'=70-3-9-23180-8y Also given y0=23-1   To reduce to row echelon form and solve for constant…

Q: Solve: x" -x+ 5 y'=t y" - 4 y-2x = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

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Q: Find the values of a, b, c, and d when f(x) = ax3 + bx2 + cx + d and the following conditions are…

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Q: If y = f(x) is the solution of y" – 9y" +26y' – 24y = 0, f(0) = 4, f'(0) = 15, f" (0) = 44, then

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Q: h(x) = px³ + 4px + 1, where p and q are constants. Given that h(-1)=-41 and h'(-1)=67, find the…

A: h( x ) = px3 + 4px + qxh( -1 ) = -41 h'( -1 ) = 67

Q: Solve: y""-12y"+45y'-50y = 0 y(0) = −3, y'(0) = −11, y'(0) = -53 y(t) =

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