Solve the following linear simultaneous system of D.E. dy -8 dt dx 2 +2(x+2 y)% =t+ e2t dt dy +4x + dt dx 4- - 6 y = 3e2t sin(t) dt

Q: Find the general solution of the given equations of the 20y + 15х - 3о 3 line (x+ 2y + 8)dx + ( )dy…

A: Use the appropriate substitution and reduced the given differential equation into separable of…

Q: Find the general solution to the equation xdx + -dy= 3dy O x=/2y+ Cy-2 O xy= 2y + C O y = 2x3 + C…

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Q: 1. (2x-y) dx +(4x+y-6)dy=0

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: The general solution of (D³+4D)y=0 is (A) Ay=c₁еx+c₂e²x + c3e² (в y=e*(c₁cos2x+c₂sin2x) -4x y =…

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Q: Find the general solution of the DE (2y – x2) dx + (y+2x) dx=0 А) 2ху + 3 y2 =C 2 (в) 2ху — 3 x3 y2…

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Q: Inx+ 1 dy If y = then %3D 2x3 - 3x' will be dx (2x – 3x) + 1) – (In x + 1)(6x² – 3) А. (2x³ – 3x)² -…

A: Use the formula of differentiation of fraction of Two functions in same variable.

Q: 1) S dx 9-x2 dx 2) J2y-2 x2Vx2 -2 3) dx 2 V1-x2 |3D

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Q: dy 3x-5y+13 5x-y+7 #1) dx

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Q: (D 3)²y = e*.. %3D

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

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Q: The general solution of (D-4D)y-0 is (A y=c+ cx + Cze tk ® y-(c, + cx)e* +c3e* © y-c+ cx +Cye" -4x D…

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Q: 2xy - 10y -x + 5 y - 6 xy + 5y + 2x + 10 -dx +- 0 %3D 2.x + 3

A: Separable Differential Equations: A separable differential equation is an equation that can be…

Q: Find general solution of (4x + 6y)dx + (8x + 12y − 6)dy = 0 (DE WITH COEFFICIENTS LINEAR IN 2…

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Q: Solve the equation (x + 2y-4)dx - (2x + y - 5)dy = 0. (x + y - 1)² = c(x-y-3) (x-y-1)² = c(x + y -…

A: x+2y-4dx-2x+y-5dy=0

Q: (D3 - 5D² + 8D-4)y=e2x, Find Y = Yc - Yp a. 2x cé + Cẻ +C xe O C. -2x O b. 2x 2x °°€₁p² + €₂²³ +…

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Q: Find the general solution of (y + 1)dx + (4x - y) dy = 0 Show your solutions on a separate sheet of…

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Q: -x+y+3z = 3 x+2y-z 0 3x+2y %3D -5z = -2

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Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x−y)dy = 0? None of…

A: Solution

Q: 5. Find f'(x) if f(x) = √4sin²x +9 cos²x. Solution: U= du dx B) Implicit Differentiation Example:…

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Q: (c) Consider the double integral || xy dA where D is bounded by the x-axis and the upper half…

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Q: Evaluate: (8t3 – 9t2 + 7)dt -

A: Topic = Integration

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Q: d/dt ŷ = [3 1] ŷ, ý(0) = [8] [-2 1] | [6]

A: Given that dy^dt=31-21y^ with initial condition y^(0)=86 Let A=31-21 and eigenvalue of A is λ. Then…

Q: 3. 2хydx - (3xу + 2y?)dy %3D0 o (x - 2y)*(2x +y) = c O (x - y)*(x + y) = c (х + 2y)(2x - у)*- с о…

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Q: Find the solution. (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y" = 0. A y = (-1+ 2x)e-2*+ e 2x B y =…

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Q: az Calcula y z = x4 – 2y3 O 8z 4x3 az -6y? O az 4x – 2y dz = 1* – 6y O dz = 4x3 az = 6y? O 8z 4x –…

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Q: y²dx + x(x+y) dy=0 A xy²=c(x+2y) B x²y=c(x+2y) © xy²=c(2xy) C D x+y²=c(2xy)

A: Given differential equation  y2 dx +xx+y dy=0