Hint: First assume that at least one solution to the corresponding homogeneous equation is of the form . You may have to use some other method to find the second solution to make a fundamental set of solutions. Then use one of the two methods to find a particular solution.

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This is a Cauchy-Euler equation. To solve that we let x=exp(z) and plug this into the equation. In general with this change of variable the equation:
x^2y''+ axy'+ by= f(x) becomes:

... C = −2 sin x : 2 D = 1 → D = 1 2 Having solved for the ... Do Not solve for the constants ... 2 , x > 0 ; a) Find the complementary solution of (1) by solving L[ y ...

... SOLUTION: ... this is mainly because there are different methods to solving different kind ... should notice that the two differential equations we need to solve are. ...

... I have solved eight problems on differential equations ... of undetermined coefficients together with superposition can be utilized to solve given differential ...

... the original ODE is homogeneous, any arbitrary ... In trying to determine the solution to this ... a simple, constant coefficient, second-order ODE with characteristic ...

... 5. Solve the differential equation, y is a function ... So this DE can be solved by separation ... explanations of different methods of solving differential equations ...

...Solving: ... For that we have for { , B }Î ¡ and we solve for { 1, c2 }Î £ : A c. ... note that the non-homogenous term sin (wt ) is in itself a solution of another ...

... hout and is relatively easy to solve using standard ... can find D by incorporating the general solution into the differential equation {19} and solving for D ...

...differential equation, we need to solve it twice ... We begin by solving for the homogeneous solution ... The solution of this particular Ordinary Differential Equation...

Hello, I have a test coming up soon and I don't understand how to solve the kind of problem as ... If so, solve for it. ... The solution is attached below in two files ...