Question: I need help with these 2 problems. Thank you very much. 1. Use separation of variables to find the general solution to the differential equation

I need help with these 2 problems. Thank you very much.

1. Use separation of variables to find the general solution to the differential equation y'ty - 3y =0. 2. Use separation of variables to solve the following initial value problem: dy 2xy dx x2 - 1 with the initial condition y(0) = 1

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

2.2 Exercises (Separable Variables) Use separation of variables to solve the differential equation. dy 1. = xy 2. Y = xe-y dx dx dy 3. 4. xyy'=x+2 dx dy 5. = y-y 6. = xy + 3x-2y-6 (Hint: try to...

1. Find and classify (as stable, unstable, or semistable) all equilibrium solutions for the following differential equations. Summarize your work in a phase line. (a) y' = y(3 - y)(25 - y?) (b) y' =...

SOLVE Questions 1-5: PLEASE AND THANK YOU 1: What is the difference between homogenous and non-homogenous differential equation? Write an example for each and solve it. 2: What is the main formula to...

Math 240 Midterm Please show all your work. 1. A ball is thrown upward from the top of a 200 foot tall building with an initial velocity of 40 feet per second. Using \"up\" as the positive direction...

Simply ask a relevant question based on the project Comparing the Efficiency of the Bernoulli Method and the Homogeneous (u = y/x) Method for Solving First-Order Differential Equations Authors: Joyce...

I will attach the two questions below thank you so much for your help! need them asap please! (1 point) Given a second order linear homogeneous differential equation @0032\" + a1(X))/ + ao(X)y = 0 we...

Help me please !!! 1 Use separation of variables to find product solutions of the partial differential au au equation, -4 ax = yay. A string of length 1: coincides with the interval [0,1r] on the...

UNIVERISTY HELPP IN HERE NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2...

HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2 - y^2 = 1 Find...

HELPP HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all explanation Use vector calculus to find the curl of the vector field F(x,y,z) = (x^2 +...

Identify ethical dilemmas that are most challenging for leaders and managers. Q. Describe specific ethical dilemmas that exist within organizations. Q. Identify and recommend ethical solutions to...

Supreme Radio, Inc., issued to Southern New England Distributing Corporation two notes worth $1,900. The two notes and others, all of a total face value of about $15,000, were transferred to...

asan Songbird sold a computer used in her usiness for $ 1 0 5 0 . She had purchased the mputer three years ago for $ 9 5 0 and has taken 3 0 0 in depreciation. How much and what type of ain or loss...

A company issues 1,050 shares of its common stock for $33,600 cash. Prepare journal entries to record this event under each of the following separate situations.