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Find the Solution of the Differential Equation dydx=y2x4\frac { d y } { d x } = \frac { y ^ { 2 } } { x ^ { 4 } }

question 48

Short Answer

Find the solution of the differential equation dydx=y2x4\frac { d y } { d x } = \frac { y ^ { 2 } } { x ^ { 4 } } that satisfies the initial condition y(1)=1y ( 1 ) = 1 .

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Definitions:

Recursive Functions

Functions that call themselves within their own definition, often used for tasks that can be broken into similar subtasks.

Iterative Solution

A method of solving a problem by repeatedly applying a set of operations until a certain condition is met, typically used in loops and iterations.

Declaration Statement

A statement in programming that declares a new variable or function, specifying its type and, optionally, initializing it.

Function Body

The section of a function in a program that contains the actual statements that execute when the function is called.

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