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

question 48

Short Answer

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

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Definitions:

Main Connective

In logic, the operator (such as AND, OR, NOT) that determines the overall value of a compound statement, linking its constituent parts together.

Atomic Statements

Expressions in logic that cannot be broken down into simpler statements and are used as the basic building blocks of logical expressions.

Main Connective

The principal operator in a compound logical expression, determining the overall outcome of the expression.

Atomic Statements

Simple statements that cannot be broken down into smaller statements without changing their meaning.