Differential Equation and General solutions

Related BrainMass Solutions

• Linear Homogeneous Partial Differential Equation

  14958 It is an explanation for solving homogeneous linear partial differential equation. Find the General solutions of the equations r = a2t and (D + D')z = sin x.

• Differential Equations

  Substituting in the differential equation we get cannot be zero Therefore The roots of the above equation are m = 1,1,-1,-1,-5 So the solutions are The general solution is given by .y = This solution solves differential equations

• Solving Differential Equations

  General solutions to the differential equations are provided. The solution is detailed and well presented.

• Nonhomogeneous Differential Equations : Particular and General Solutions

  145384 Nonhomogeneous Differential Equations : Particular and General 14.

• Differential equations

  and finding complete solutions.

• Exact equation

  So, let F(x,y)=y^2-x^2, then F(x,y)=C is the general solution to (1), where C is an arbitrary constant. This shows how to find a function whose level curves are solutions to a differential equation.

• Elementary Differential Equations

  The solution is comprised of detailed explanations of finding the general solutions of two types of differential equations: Bernoulli equation and reducible second-order differential equation.

• Differential Equations with Third Derivatives

  Its characteristic equation is f(r)=r^3+r^2=0 So, r1=r2=0, r3=-1 So, we know that y1=1, y2=x, y3=e^(-x) are solutions to the differential equation.

• Differential equations

  192162 Differential Equation Find general solutions for the attached differential equations. Dear student Please find the solution in the attachment. This provides several examples of finding general solutions of differential equations.