Solve the following system of differential equations using the methods given in class. x+2x+5y = 0 -5x+y' + 2y = t C.C.I x(0) = 0, y(0) = 0 Be very CLEAR and EXPLICIT in your development.

Q: d) x²y' - 4xy = x sin(x), x>0 e) y' - 2y = f(x), y(0) = 1, where f(x) = y(0) = 1, where ƒ(x) = { f)…

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Q: Find a general solution to the following system of differential equations: = 9x1 + 4x2 I2 = -6x1 –…

A: given differential equations x1'=9x1+4x2x2'=-6x1-x2x3'=6x1+4x2+3x3 explanation we can write it in…

Q: 6. Use an analogy with differential equations to solve the IVP xo = 1, x₁ = 2 for the difference…

A: We will solve this by characteristics method, and after that we will use initial conditions to…

Q: (x²y3 – e3*)dx + (x³y² + y²e»*)dy = 0 exact %3D |

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Q: dy What is the general solution to the differential equation da A (B) y= 1 (2²+32+C) 372 *-…

A: We have to solve the differential equation dydx=x-13y2We can variable separation method in the below…

Q: Find the solutions of the following differential equations. x2y’ = 1 - x2 + y2 - x2y2

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Q: 5r² (r + 4)³ (r+7) (r² +9)³ (²+2r +10)² = 0

A: Find the general solution of an ordinary differential equation whose auxiliary equation is: