Use the Laplace transform to solve the given system of differential equations. xp = 3y + et dt dy 12x - t dt x(0) = 1, У(0) 3D1 1 1 t 617 6t -e' 720 173 -6t e x(t) -e' + 12 35 1008 1 617 6t 173 -6t 12 e' + 35 y(t) - 36 720 1008

Q: Evaluate the expression a+b a+b when a=23a=23 and b=45b=45. Write in simplest form

A: # the expressions are printed twice , taking them once given a=23 and b=45 The value of a+b is as…

Q: = Complete the following truth table. Use T for true and F for false. You may add more columns, but…

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Q: Consider the second-order differential equation:  (d2x/dt2) + x (dx/dt) = sin x.  which option…

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Q: Write the general solution of the homogeneous linear differential equation of order 4 for which the…

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Q: y - 5y + 6y = e2t

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Q: Make the Nonexact differential equation xy dx + (3y2 + 2x2 – 20) dy = 0 to an exact differential…

A: The solution is given as

Q: Consider the partial differential equation uxxxx +3uxxyy + Uyyyy = 0. Determine the order of this…

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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.