Given the differential equation y "- 6y'+ 5y = 0, y (0) = 2 and y (0) = 1 Apply the Laplace Transform and solve for Y(s) = L(y) Y(s) = Now solve the IVP by using the inverse Lapace transform y(t) = L−¹{Y(s)} y(t) =

Q: 2) Use the Laplace transform to solve the differential equation y' + y' - 2y = -4; with initial…

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Q: If a 2 × 2 matrix A is non-invertible, then the image of the unit square under the linear…

A: False Reason : Here the image of unit square image

Q: Solve the differential equation using Laplace transform of y" - 3y' + 2y = e3t ; when y(0) =0 and…

A: To Solve: y''-3y'+2y=e3t; when y0=0 and y'0=0 Concept: Let Lyt=Ys be any given Laplace TransformThen…

Q: Employ Laplace transforms to solve the differential equation of y"-2y'+y=3e¹* Given y(0)= and y(0) =…

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Q: Show that w(t) =〈sin(3t + 4),sin(3t − 2)〉, cos 3t satisfies the differential equation w''(t) =…

A: Given- wt=<sin3t+4,sin3t-2>,cos3t To prove- That the above expression satisfies the…

Q: \(d\) is a metric on \(X\). Show that \(\rho : X^2 \to [0,\infty)\) defined by \[ \rho(x,y) =…

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Q: y(t) = y" - 7y' + 6y = et + s(t - 7) + 6(t-9), y(0) = 0, y'(0) = 0 ) + ( [ ])2(x-7)+ ( [ 1) 2(t-1

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

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Q: Given the differential equation y"+y'-2y = 0, y(0) = −1, y'(0) = 2 Apply the Laplace Transform and…

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Q: Michelle draws a restangle with a length of 6 cm. She draws a second rectangle with a length of 11…

A: Michelle draw 1st rectangle of length =6 cm 2nd rectangle=6+5=11cm And so on, she keep drawing more…

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

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