3y" + 2y – ly = 1t² – 1t + 4e¬24 - Yp =

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A: Consider y''+2y'+y=e-x ln xConsider the homogenous equation:y''+2y'+y=0Let y=eλx be the…

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Q: yl" +4y/+3y =1

A: we will solve this by using Laplace transformation. Consider the equation y''+4y'+3y=1. Take Laplace…

Q: y' = 5y + e-2*y-2

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Q: Find the particular solution that satisfies the differential equation and the initial equations.…

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A: see 2nd step

Q: Find a particular solution to the differential equation 2y" – 3y' + ly = -lt² – 2t – 2e“. Yp =

A: Given differential equation is, 2y"-3y'+y=-t2-2t-2e4t Let y=emt(≠0) be a trial solution of this…

Q: 5. (-3x + y – 1)dx + (x + y + 3)dy = 0

A: Given , differential equation. (-3x+y-1)dx+(x+y+3)dy=0 It is of the form M dx + N dy=0 Now we need…

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Q: x In x = y(1 + 3 + y² ) y', y(1) = 1 %3D

A: Let us consider the differential equation of the form dydx=f(x)g(y) Then to solve the equation using…

Q: Find a particular solution to the differential equation 2y" – ly – ly = -2r² + lt – 5e²". |

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Q: Find a general solution for the differential equation with x as the independent variable. y"' + 3y"…

A: The given differential equation,      y'''+3y''-4y'-6y=0

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Q: Solve the given differential equation with initial condition.  y' = 2y, y(0) = 2

A: given,             y'=2y       and y(0) = 2

Q: Solve the given differential equation with initial condition.  y' = y, y(0) = 4

A: Given : y' = yy0 = 4

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A: To solve the given differential equations.  e3θ(dr + 3rdθ) = 0.

Q: (x² - y²) dx + xy dy = 0

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A: Given, y''-5y'+6y=2ex   ....(i) Auxiliary equation of the given homogeneous equation is…

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Q: Find a particular solution to the differential equation using the method of undetermined…

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Q: Find the particular solution of the differential equation that satisfies the initial conditions.

A: A differential equation is given as, f''x=-4x-12-2 and initial conditions are f'2=0 , f2=3 To find…

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Q: Find the general solution to the differential equation: 3y[In(x)] - 2xy' = 0 for x,y # 0 %3D

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