Power Series Solutions of Differential Equations - Page 2

Questions
  • How to solve the following inhomogeneous differential equation? under the initial condition y (0) = y0. Let λ and μ be positive real parameters.
  • How do I solve the nonlinear differential equation #y′ = −x/y# under initial condition #y(1) = 1#?
  • How to determine the general solution to the system of differential equations ? #y'_1(t) = 9y_1(t) - y_2(t)# #y'_2 (t) = y_1(t) + 7y_2(t)#
  • Find a complete solution in( d²y/dx²)-4dy/dx+13y=24e^2x+ sin 3x?
  • Find the solution of the differential equation dy/dx = y^2/x^4 that satisfies the initial condition y(1) = 1?
  • Solving second order of homogenous equation. It states to find the particular solution. Can someone help me?
  • Q: find a general solution of the differential equation. How to solve it? Thank you! (pictures below)
  • Find the general solution of #(dy/dx) = y^2-4# ?
  • How to find the general solution of #x dy/dx = -y^2# ?
  • How to find the general solution #(x-2)dy/dx - y = 0# ?
  • Need help Solving the following first-order linear differential equations? #y'-4x^(3)y=8x^3#
  • How to find the general solution of #xy dy/dx= (x^2-1)/(y-1)# ?
  • Solve the following differential equation?
  • Find a general solution y (x) of non-homogeneous linear equations of the 2nd order with constant coefficients and special right side. How to solve? (pictures below) Thank you a lot!
  • Solve this differential equation explicitly, either by using partial fractions, or with a computer algebra system. Use the initial populations 350 and 450. Can anyone please help me with this problem and explain how you got the answers?
  • Find a general solution? check answer using substitution.
  • Solve the following differential equations: #2x^(2)y (d^(2)y)/(dx^(2))+4y^(2)=x^(2)(dy/dx)^(2)+2xy(dy/dx)#?
  • Show that y= f(x) is a solution for given equations under, please help?
  • Show that -3e^2t+7te^2t is a particular solution to the initial value problem y’’ -4y’ +4y=0. y(0)=-3,y’(0)=1?
  • Determine the general solution for differential equation 2x lnx dy/dx = lnx/2 -y ?