1.

Find the general solution f(x) dy/dx = f(x)^2+f(x)y+f"(x)yplease solve it fast

Answer»

Answer:

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"

Example:

d2ydx2 + xy = sin(x)

This has a second derivative d2ydx2 , so is "Second Order" or "Order 2"

Example:

d3ydx3 + x dydx + y = ex

This has a THIRD derivative d3ydx3 which outranks the dydx , so is "Third Order" or "Order 3"



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