Given the differential equation y"-4y'-2y = 5 sin(4t), y(0) = -1, y'(0) = -2 Apply the Laplace Transform and solve for Y(s) = L{y} Y(s) = -5³-25²-165-12 (5²+16) (s²-45+2) 2 X

Q: How to solve for third order differential equation of y''' - 7y' + 6y = 2 sin (t) using Method of…

A: Given third order differential equation is: y'''-7y'+6y=2sint Apply Laplace transform on each term…

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Q: Solve the differential equation บ'' "-y-12y=-4-5₁(t), y(0) = −2, y'(0) = 1 using Laplace transforms.…

A: Step 1: **Apply the Laplace transform to both sides of the expression** The differential equation is…

Q: Solve the differential equation by variation of parameters. y" + y = sin?(x)

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Q: What is the length of EF? y 4 8 units 10- 7 units 4 2 units -10 -8 -6 4 10x -2- 6 units -4- -6 -8

A: solution of the given problem is below ...

Q: Given the differential equation y'' + 3y' – 3y = sin(3t), y(0) = -2, y'(0) = 2 - Apply the Laplace…

A: Given that, the differential equation need to solve it using the Laplace transformation.

Q: Solve the differential equation by variation of parameters. y"+y = n²(x) xx) = c₂cos(x) + csin(x) +…

A: The solution is given as

Q: Given the differential equation y"-4y'-y = 2 sin(5t), y(0) = 2, y'(0) = −1 Apply the Laplace…

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Q: State the order of the given ordinary differential equation. (sin 0)y"' – (cos 0)y' = 8 %3D…

A: NOTE: Refresh your page if you can't see any equations. . The order of the highest derivative term…

Q: If 2x3+3ycos(xy)+(cx2y2+3xcos(xy))y'=0 is the exact differential equation then c =?

A: The exact differential equation is defined as the differential equation of the form Mx,ydx+Nx,ydy=0,…

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Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) = c₁cos (0)…

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Q: 8. Sketch the slope field and sketch two solutions for the differential equation. (a) y'= -2x (c) y…

A: A slope field is a visual representation of a differential equation of the form dy/dx = f(x, y). At…

Q: Given the differential equation y" – 5y' – y = - 3 sin(3t), y(0) = - 1, y'(0) = - 2 Apply the…

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Q: Solve the differential equation y"-9 y+20 y= sin(x)--'cos(x)¶

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Q: 4. Find a general solution to the equation y' – 3y = e" sin(2x). -

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Q: Q-3. If f'(x) =-f(x) and f(1) = 1 then find f(r) %3D Q-4. Form the first-order differential equation…

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Given the differential equation y'' + 5y' – 5y = - 4 sin(4t), y(0) = 2, y'(0) = 0 Apply the Laplace…

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Q: Consider the differential equation y' -5x + 7y – 10 (1) By making the change of variable…

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Q: Use Laplace transformation technique to solve the differential equation. y’’ + 1 = 2t y(0)=2 y’(0)=1

A: Answer