Differential equation: The general solution.

Find the general solution of: dy/dt + y = t

Differential equations : Finding the minimum and maximum with base e.

Find the complete solution of this equation problem y^4 - y^2 = 4x + 2xe^(-x)

Differential Equations

Hi, For this problem please state the method you used and show the work required to obtain the answer. Find the complete solution to this equation problem. y^3 - 2y^2 + y^1 = 2- 24e^(x) + 40e^(5x)

Differential Equation: Partial Integrals

For this problem state the menthod you used and show the work required to obtain the answer. Find the complete solution to each of the equation problem: 4y^2 - 4y^1 + y = e^(x/2) * square root of (1-x^2)

Differential Equations: Matrices and Eigenvalues

For this problem please state the method you used and show the work required to obtain the answer. Find the general solution for each of the systems: (this is a matrix) X' = 1 0 0 2 1 -2 *X 3 2 1 this matrix has a parenthesis and a X outside of it.

Differential Equation: System of Equations

For this problem state the method you used and show the work required to obtain the answer. Find the general solution for this system: this is a matrix x'= 3y+z y'= x+z+2y z"= 3y+x

Getting started with ODE

I would like someone to introduce me to ODE and answer questions as they arise.

Initial Value Problem, Ordinary Differential Equation: Jordan and Diagonalization

Find the solution of the system X' using the "diagonalization" technique (actually the Jordan form in this case) Please see the attached file.

Find a solution in the form of a power series for an ODE

Please see the attached file for the fully formatted problems. Find a solution in the form of a power series for the equation y" - 2*x*y' = 0 (ie find 2 linearly independent solutions y1(x) and y2(x)). After doing that, note that the equation can also be solved directly by integration: y"/y' = 2x ln(y') = x^2 + ...continues

Solving First Order Separable Differential Equation.

Find the solution of dy/dx-2y =0