Solution to a Differential equation

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• Solve the differential equation or initial value problem using the method for undetermined constants and variation of parameters.

  So the solution is (2) The inhomogeneous differential equation can be separated to as And (a)The particular equation to the differential equation (*) has the form of Plug into (*) So Thus, (b) The particular equation

• Differential equations

  If the equation is an ODE, indicate whether the equation is linear or nonlinear. Write a differential equation that fits the physical description. Determine whether the given function is a solution to the differential equation.

• The Transformation of Partial Differential Equation

  The solution is in the attached file. This solution explains the transformation of the partial differential equation into a new partial differential equation by changing the variables.The solution is given in detail. 

• Verifying the Solution of a Differential Equation

  Verify that the function y = f(x) is a solution of the differential equation Now, Therefore, is a solution of the differential equation: A solution of a differential equation is verified.

• Differential Equations : Separation of Variables, Solve by Substitution and Integrating Factor

  value of , reduce the differential equation to and hence solve the original equation. --- Please see the attached file for the complete solution.

• Differential equations

  Use integration to find a general solution of the differential equation. dy / dx = (x-2)/ x = 1 - 2/x Therefore, y = 2.Sove the differential equation.

• Differential equation

  217044 Finding a Solution to a Differential Equation See attached.

• Differential Equations : Tangents and Solutions

  Let y=f(x) be the particular solution to this differential equaiton with the initial condition f(-1)=2. a) On the axis provided sketch a slope field for the given differential equation t the twelve points indicated.

• Differential Equations : Solve the following differential equation by as many different methods as you can.

  (See attachment for equation) b) There is a type of differential equation which will always be solvable by two different methods. What type of differential equation is it and which other method can always be used to solve it?

• Differential Equation, Complex Variable, Transfer Function, and Homogeneous Solution

  See attachment for solution. The solution includes step-by-step calculations for transforming a differential equations into a transfer function and finding the homogeneous solution to the differential equation from the transfer function.