Rewrite the following linear equation as a system of first order equation of t y' = A(t)y + g(t): y(4) ty(3) + (sint)y" - 10y = e²t.

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: Please answer all and graph

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Q: let h(y)=(y-3y2)5(y2+2)6  h'(y) in simplified form.

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Q: Let Y(t) = be the solution of , 6 1 Y, 5 4 -2 - Y' Y(0) 8 Write x(TT/10), round your answer to two…

A: To solve this problem first we write the system as a system of linear homogeneous differential…

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A: a0 A = 7-143 , B = 5505 , P = 122-1Then p-1 = 1-1 -4 -1-2-21               = 1-5 -1-2-21…

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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: 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: Write the system y1 = -y1+2 cos(r)y3 + e 2 = xy1 - 10y2 + e" y3 +20 sin(x) Y3 = e2" y2 – a²y3 %3D…

A: The matrix form of given system of differential equations as follows

Q: If y = 2² is one solution of x²y" + 2xy' − 6y = 0, find the other linearly independent solution.

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Q: -4 2 dx dt -10 4 3 with x(0) = 3 Give your solution in real form. X1 = X2 = An ellipse with…

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Q: If y = x2 is one solution of x2y''+2xy'-6y=0 and the other linearly independent solution.

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Q: 3 ve the nonhomogeneous system tY' = (²2 =²) x + (-²₁) -21). Y (2-2)

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Q: For the system, 6 -1 Y' = Y 5 4 Write the natural period of the oscillations, round the answer to…

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Q: iven are five observations for two variables, x and y. x, 12 3 4 Y, 4 7s 10 14 a) Develop a scatter…

A: Solution: x y (x-x) (x-x)2 (y-y) (x-x)(y-y) 1 4 -2 4 -4 8 2 7 -1 1 -1 1 3 5 0 0 -3 0 4…

Q: Solve the non-linear DE: ² y" + (y)² = 0

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