Solve the following ordinary differential equations using laplace transforms

Solve the following differential equation using Laplace Transform

Solve the following ordinary differential equations using laplace transforms

Solve the following ordinary differential equations using laplace transforms

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Solve the following ordinary differential equations using laplace transforms

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    How do you solve a differential equation using Laplace transform?

    Again, the solution can be accomplished in four steps..
    Take the Laplace Transform of the differential equation using the derivative property (and, perhaps, others) as necessary..
    Put initial conditions into the resulting equation..
    Solve for the output variable..
    Get result from Laplace Transform tables..

    How do you solve a differential equation using Laplace transforms in Matlab?

    Therefore, to use solve , first substitute laplace(I1(t),t,s) and laplace(Q(t),t,s) with the variables I1_LT and Q_LT . Solve the equations for I1_LT and Q_LT . Compute I 1 and Q by computing the inverse Laplace transform of I1_LT and Q_LT . Simplify the result.

    What is the solution of an ordinary differential equation?

    A solution of a differential equation is an expression for the dependent variable in terms of the independent one(s) which satisfies the relation. The general solution includes all possible solutions and typically includes arbitrary constants (in the case of an ODE) or arbitrary functions (in the case of a PDE.)