Find a general solution of the given system.   x′=−4x−5y,  y′=2x+2y Eliminate y and solve the remaining differential equation for x. Choose the correct answer below.

Q: 2. Find the general solution of y' = x² – 2xy a. y==(x² – 1) + Cor* b. y = x² – 1) + Ce* c. y =;(x²…

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Q: 11. Find the general solution x(3xу — 4у3 + 6)dx + (х3 - 6х"у? - 1)dy %3D 0: а. (х + у — 2)3 %3 с (х…

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Q: Solve the initial value problem dy dx (6 + x) 2 Y(0) = 6 Select one: A.y = 9 6 +x 2 9 +9 -_9_ + 6 O…

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Q: Solve for the value of C in the equation: O A. 1 О в. 2 O c. 3 O D.-1 (2xy4e³ + 2xy³ + y)dx +…

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Q: 1. Find the general solution of (x³ + 3y)dx – xdy = 0 x³(x² + C) x³(x² + C) a. y = - 2 b. y =· 2…

A: We have to find solution

Q: d5y 3) d²y d*y d3y + 13 dx3 13 dx2 dy + 36 dx + 36 y = 0 dx5 dx*

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Q: 4. Find the general solution of (x³ + y³) dx = 3xy? dy A. -3x3 + 2y3 Cx B. 7x3 + 2y3 = Cx C. -6x3 -…

A: According to question, Given differential equation, x3 + y3 dx = 3xy2 dy

Q: Solve the equation (4ху + Зу? — х)ӑx + x(х + 2у)dy — 0. а. 4ху+ 4y? — х — с с. х?(4ху — 4y? — х)— с…

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Q: Solve the exact equation 2xydx + (x² + 3y2)dy=0 with the initial condition y(2) = 1. Write the…

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Q: If you take the first equation and solve for x2 you obtain: x₂ = x₁x²₁ 2 Of course, the derivative…

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Q: Solve the general solution of the differential equation (D4 + 2D3 – 6D2 – 16D -8)y = 0

A: General solution of the differential equation

Q: Use the elimination method to find a general solution for the given linear system, where…

A: Given system of differential equation with respect to t is,  x' = x - y; y' = y-4x. To find the…

Q: 4. Find the general solution of y(1– xy)dx + xdy = 0 1 1 a.y = b.y = x(Inx + C) x(-Inx + C) 1 c. y =…

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Q: Find the solution of the Bernoulli's equation + = y3(1+ In x). dx a. 9 = -6xy?(1+ In x) + 2xy? +…

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Q: Use the general solution of the differential equation given below to use the Parameter Exchange…

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Q: Use the elimination method to find a general solution for the given linear system, where…

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Q: (3y' + y)Jy = x (1) For each of one of them, identify if it is linear or non-linear. For all the…

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Q: (2xy + 2)dx + (3x°y +2y¯1)dy = 0 An implicit solution in the form F(x,y) = C is: =C, where C is an…

A: Given equation is  2xy3+2dx+3x2y2+2ydy=0 Comparing with general form of first order ordinary…

Q: 7. Find the general solution: y(x? + y²)dx + x(3x² – 5y²)dy = 0 a. y³(y² – x²) = cx b. 2y3(у2 — х?)…

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Q: A. Eliminate the arbitrary constants. Show your solutions. 1. x³y² - xtan²y = C 2. y = C₁x² + C₂e²x…

A: To eliminate the arbitrary constants in each of these equations, we can use the method of…

Q: Let g be a function such that g (v) > 0 for all y Which of the following could be a slope field for…

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Q: Find the value/s of b for which Z =(    2 -B  - 4  is singular.…

A: A virus is believed to be spreading through a sheep farm according to that equation N=…

Q: 1. Find the differential equations of the given relations by elimination of arbitrary constants. y =…

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Q: Find the equilibrium solutions and determine which are stable and which are unstable. y' = 9y – 3y?…

A: According to the given information, it is required to determine the equilibrium solutions and…

Q: Consider the equation: ay" + by' + cy = g (t) where a, b, and c are positive constants. 1. If Y1 (t)…

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Q: Be. La ecuación diferencial (4x²y² + 6x y)dx + (5x³y + 8x²)dy = 0 tiene un factor integrante de la…

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Q: value of positive 1. Then find tne constant coefficient of the following. x²y°| b. x³y? а. 3,,3

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Q: The nullclines for a system of differential equations are shown in , The system has an uilibrium at…

A: The x nullcline is the set of points where dx/dt = 0 The y nullcline is the set of points where…

Q: Use the elimination method to find a general solution for the given linear system, where…

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Q: Use the elimination method to find a general solution for the given linear system, where…

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Q: olve the linear Homogenous Differential Equations with Constant Coefficient D° – Dª – 2D³ +2D²…

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Q: The solution to the differential equation (x²+2y²)dx=-4xydy is a. x(x² + 2y²)=c c. x(x² +6y²)=c b.…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.