State the general solution of the ode

Assignment Help Chemistry

Reference no: EM13193513

Really struggling with this one dy/dt = 2t(y + 1) + 2at^3 where a is a parameter. Find the general solution of the ODE when a = 0 using the fact that it is separable. After this, use the fact that that it is a linear ODE to find an integrating factor, and use this method (different to what you just did) to solve the ODE for the case where a = 0 and also for the case where a =/= 0. I've tried separating, but I keep getting it wrong. I can get to integrating where it is dy/dx - 2ty = 2t + 2at^3 but I don't know if this is right or where to go.

Reference no: EM13193513

Questions Cloud

What would amber''s account be worth today : amber invested $8000 into a mutual fund 7 years ago. If the fund grew at the rate of 6.5% per year compounded monthly, what would Amber's account be worth today?

What is the volume of grain that can be stored in the silo : A grain silo has a cylindrical shape. Its diameter is 19 , and its height is 38 . What is the volume of grain that can be stored in the silo?

Explain supply curve ceteris paribus assumption. : A supply curve does all of the following,uses the ceteris paribus assumption.Holds constant time, place, income, costs of inputs, costs of substitutes, and suppliers' expectations about future prices.

What is the volume in cubic yards of a linear pile : What is the volume in Cubic Yards of a linear pile of dirt with the dimensions of 182 foot long by 20 foot wide by 7 foot tall with a slope of 13 feet?

State the general solution of the ode : Really struggling with this one dy/dt = 2t(y + 1) + 2at^3 where a is a parameter. Find the general solution of the ODE when a = 0 using the fact that it is separable. After this, use the fact that that it is a linear ODE to find an integrating fac..

How many acres of each crop should be palnted : If the farmer can make a profit of $140 per acre on crop A, $200 per acre on crop B and $150 per acre on crop C how many acres of each crop should be palnted to mazimize profit?

How long is each side of the square : A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter.

Define the cupric hydroxide intermediate in the synthesis : Why is it particularly important to wash the cupric hydroxide intermediate in the synthesis of cupric acetate (verdigris)? Be specific about what is being removed and why it matters.

How many milligrams of medicine will remain in the system : If a hospital patient is given 100 milligrams of medicine which leaves the bloodstream at 14% per hour, how many milligrams of medicine will remain in the system after 10 hours? Use the function A(t) = Iert.

User Account

All Pages