alexaube7289 alexaube7289

09-10-2017
Mathematics

contestada

Find the general solution of the given differential equation. x2y' + x(x + 2)y = ex

Respuesta :

LammettHash LammettHash

09-10-2017

[tex]x^2y'+x(x+2)y=e^x[/tex]
[tex]x^2e^xy'+x(x+2)e^xy=e^{2x}[/tex]
[tex]\bigg(x^2e^xy\bigg)'=e^{2x}[/tex]
[tex]x^2e^xy=\dfrac{e^{2x}}2+C[/tex]
[tex]y=\dfrac{e^x}{2x^2}+\dfrac C{x^2e^x}[/tex]

Answer Link

Otras preguntas

Preston never opened his bank statements, so he was surprised to see that he had incurred a service charge, because his balance went below a required minimum ba

A block of mass 0.510 kg is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x. The force constant of the spring

a train travels 20 km in 30 minutes.calculate the speed of the train in m/s

HELPP!!! 3/4 x (1 - 1/9)

Matthew is running a study on the effects of room temperature on performance on an algebra test. One group takes the test in a room heated to 90 degrees, and th

It is a winter day in Florida, and the temperature is 40°F in the morning. While you are walking to class, your body uses a negative feedback loop in order to s

DOES ANYONE KNOW HOW TO DO THIS???????????????

3M involves its customers in the process of developing new products. In this way, it can benefit from current customers' insights and develop new products that

What are the two events that are compared in the second and third

Which example of mass has 1.2×1024 oxygen atoms? 1 mole of peroxide (H2O2) 1 mole of water (H2O) 2 moles of ammonia (NH3) 2 moles of hydrogen gas (H