Question

Solve the Non-linear second ODE:

3x^2y( d^2y/dx^2)+y^2=x^2(dy/dx)^2​

Answer 1

Answer:

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Step-by-step explanation:

Second Order Differential Equations

Here we learn how to solve equations of this type:

d2ydx2 + p dydx + qy = 0

Differential Equation

A Differential Equation is an equation with a function and one or more of its derivatives:

differential equation y + dy/dx = 5x

Example: an equation with the function y and its derivative dydx

Order

The Order is the highest derivative (is it a first derivative? a second derivative? etc):

Example:

dydx + y2 = 5x

It has only the first derivative dydx , so is "First Order"