Solving of differential equations online for free
https://onsolver.com/diff-equation.phpSolving Differential Equations online. This online calculator allows you to solve differential equations online. Enough in the box to type in your equation, denoting an apostrophe ' derivative of the function and press "Solve the equation". And the system is implemented on the basis of the popular site WolframAlpha will give a detailed solution ...
Initial value problem - Wikipedia
https://en.wikipedia.org/wiki/Initial_value_problemThe Picard–Lindelöf theorem guarantees a unique solution on some interval containing t0 if f is continuous on a region containing t0 and y0 and satisfies the Lipschitz condition on the variable y. The proof of this theorem proceeds by reformulating the problem as an equivalent integral equation. The integral can be considered an operator which maps one function into another, such that the solution is a fixed point of the operator. The Banach fixed point theoremis then invoked t…