Recent content by EtherNohow

  1. E

    Undergrad Question about using matrices for differential equations

    I haven't taken differential equations yet. I'm in matrix algebra using Elementary Linear Algebra 7e by Larson.
  2. E

    Undergrad Question about using matrices for differential equations

    Wouldn't it just be A? Since other than that both sides are the same?
  3. E

    Undergrad Question about using matrices for differential equations

    I put the vectors eigenvectors from into a matrix and put 4 and -2 on the right and solved for the two variables. I got -8 and 6 but the website says only -8 is right, and in don't know where to get the other two coefficients?
  4. E

    Undergrad Question about using matrices for differential equations

    Let x(t)= [x1(t) x2(t)] be a solution to the system of differential equations: x′1(t)=−2x1(t)+2x2(t) x′2(t)==−6x1(t)+9x2(t) If x(0)= [4 -2] find x(t). I got the eigenvalues to be -6 and -5, but I don't know how to calculate the coefficients in front of the exponents. For lambda=-6 I get...