solving an IVP using Laplace transform

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• Laplace transform - IVP

  30390 Laplace Transform to Solve IVP Use Laplace transform to solve an IVP style problem. Where y^n(t)+a^2y(t)=0 and a is not equal to zero. See attachment. This solution shows how to use Laplace transform to solve an IVP style problem.

• Laplace transform : Solve an I.V.P.

  So going back to our problem we can say that: All we need now is that the integrand is an easy to integrate function., which we all hope (in vain) is always the case. An IVP is solved using a Laplace transform.

• Solving Initial Value Problems : Laplace Transforms and Convolution Theorem

  for our goal is the effect the transform has on the nth derivative of a function: The method of solving a differential equation using Laplace transform is simple: 1.

• Differential Equations : LaPlace Transform Method

  Hence, and the solution of the initial value problem y(t) is thus given by the inverse Laplace transform of Y(s) as in Laplace table The Laplae transform method is used to solve an IVP. The solution is detailed and well presented.

• Initial-Value Problem Solved by Laplace Transforms

  verification: > eqn:=diff(y(t),t,t)-4*diff(y(t),t)=6*exp(3*t)-3*exp(-t); > dsolve({eqn,y(0)=1,D(y)(0)=-1}); An IVP is solved using Laplace transforms.

• Solving Differential Equations : Laplace Transform Method

  It is well known that is the laplace transform of cos(x), while 1 is the Laplace transform of the Dirac delta function, so . An ODE is solved using a Laplace transform. The solution is detailed and well presented.

• Solving Differential Equations Using Laplace Transforms

  the solution is Solving Differential Equations Using Laplace Transforms is investigated.

• Initial-Value Problem with Graph : Laplace Tranformations and Partial Fractions

  Thanks for using BrainMass. An IVP is solved using a graph, an inverse laplace transformation, and partial fractions. The solution is graphed and discussed. The solution is detailed and well presented.

• Laplace Transform

  Solution: Using Laplace Transform, we have: Since y(0) = 0 and y'(0) = 1, we have: Getting the inverse Laplace transform, we have: Compute the inverse Laplace transform of: X(s)= 3s2+2s+1 ___________