Solve the system of differential equations -99 168 x' Ꮖ -56 95 = x1(0) 33, 2(0): x1(t) = x2(t) = = 19

Q: dy 4. x - y = x² sin x dx

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Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram…

A: Given, A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. pumped into the…

Q: (a) (3-x- y)dy=(2x – 4y+6)dx.

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Q: -In ( + C) = n u' (x) = e6x-5u

A: Use seperate the variable

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Q: DIFFERENTIAL EQUATIONS  Solve (D3 - D2 + 4D - 4) y = 8 - ex + 4cos(2x)

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Q: Solve with Differential Equation A tank contains 400 liters of brine. Brine containing 0.1 kg/liter…

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Q: 2. Solve the initial value problem z""+x" - 4x' - 4x = 0, x(0) = 1, x'(0) = 0, x" (0) = -1. Hint:…

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Q: (c) f(t) = -7t-u{t-10}.

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Q: Show that the differential equation below is an exact differential equation, and solve the general…

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Q: Solve the differential equation: + – v² + y = 0, a > 0

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Q: solve differential equation y´+2y=4x y(0)=0

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Q: 5. If X any Y are sets, then X-Y= {r€ X: 1¢Y} If X is open set and Y is closed set. Prove that (a)…

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Q: +¹) (y +ı) ex dy x y ³ dx + (y X = 0 1 = 6

A: The given differential equation is

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Q: 4y" + 2y" = e *(x' + 4) + 4e 2- 5x 4 9

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Q: Example of a differential problem illustrating two (2) or more possible solutions.

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Q: 7. T: R³ R² defined by T(x) = Ax, where 1 3 2 265 A =

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Q: 1. Evaluate 3 √² 13 0 |3x² - 12 dr.

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Q: 14. Solve the differential equations: (a) y - 4x' + 2x +5 , where 0)-10 ; (b) y - 3x + xy , where 0)…

A: Solve the differential equations. (a) y'=4x3+2x+5, where y1=10 (b) y'=3x+xy, where y0=2 (c)…

Q: 1) solve the following differential equations: a) (2x²³x+ sin (1/2-½x) + y ) dx + (x²y-x) dy = 0

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Q: (5 -1 2 a) x'= ¹ x² = (37)x, x0) = (-²) 1

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