Final answer to the problem
Step-by-step Solution
Specify the solving method
Obtain the characteristic equation
Learn how to solve integrals involving logarithmic functions problems step by step online.
$3r^{2}-12r+5=0$
Learn how to solve integrals involving logarithmic functions problems step by step online. Solve the differential equation 3y^''-12y^'5y=0. Obtain the characteristic equation. Find the solutions to the quadratic equation 3r^{2}-12r+5=0. Use a formula to find the general solution to the differential equation. Substituting each solution to the characteristic equation (r values) into the formula y=e^{rx} gives us a linearly independent solution. Then the general solution to the differential equation is the sum of all linearly independent solutions obtained.