Differential Equation   Given the differential equation y''+4y'+13y=0,  y(0)=−1,  y'(0)=−2 Apply the Laplace Transform and solve for Y(s)=L{y} Y(s)=     Now solve the IVP by using the inverse Laplace Transform y(t)=L^−1{Y(s)}

Q: You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for a longel…

A: Given that You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for…

Q: y" - 2y' = -4 y(0) = 0, y'(0) = 4

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Q: Transform the differential equation 4y′+2y=t^(5) y(0)=9 into an algebraic equation by taking…

A: The given differential equation .Using the Laplace transformation to find an algebraic equation and…

Q: x(1-x2)2 y'' - (1-x2)2 y' + x3y = 0  cauchy - euler differential equation find the solution.

A: Given differential equation is                   x(1-x2)2y''-(1-x2)2y'+x3y=0 The differential…

Q: Given the differential equation y' = &r + y2 Find the Implicit derivative " dy/dx" of the…

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Q: y'(t) = Cos t + y(t) cos(t – t) dt ,y(0) = 1 -

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Q: Find the particular solution of the differential equation given that, when x = 0, y =-4 and Q3 *…

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Q: (2yx+1)=-(P(x,y)+4y)y' Find the value of P (x, y) for the differential equation to be an exact…

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Q: determine the general equation using bernoulli differential equation siny(x+siny)dx+2x^2cosydy=0

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Q: The solution of the differential equation given by x¨ − x = sinht, with x (0) = 0 and x˙ (0) = 0, it…

A: x-x = sin h r⇒ x-x = er-er2       ------ *au xi lasy equn of - *,         m2-1=0…

Q: differential

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Q: DIFFERENTIAL EQUATION dy/dx=2yx+yx^2

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Q: the angle of rotation for the matrix transformation 2 2

A: Given the matrix of transformation is  f(xy)=32-121232xy To find the angle of rotation.

Q: Determine the solution of the differential equation shown using Laplace and Inverse Laplace…

A: Given y'''−y=4e−x+3e2x.....1 When, x=0, y=0, y'=−1 and y''=2 Take Laplace transformation of equation…

Q: Solve the separable differential equation. dy/dx = sec y / y^2 (x^2 - 3x^2 + x - 3)

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Q: (2xy-tan(y))dx-(sin(y)ln(5x+15)-y^(-1))dy=0 using Exact Differential Equation

A: Given,Differential equation,2xy-tan(y)dx-sin(y) ln(5x+15)-y-1dy=0To find: General solution of the…

Q: x²y" – 3xy' + 4y = x³Inx |

A: The solution is given as

Q: Evaluate the given differential equation (1+ cosx)y' = sinx(sinx + sinxcosx - y) a.y = x - sinx + C…

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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.