Solving ay'' + b|y|y' + cy + dx = 0

Ioria · May 6, 2013

Hello!
It is the first time that i write on this forum. I'm doing a PhD but i can't solve this equation:
it's a non-linear second order differential equation.

ay''+b|y|y'+cy+dx=0

Some ideas?

hunt_mat · May 7, 2013

No idea analytically, but have you tried numerically solving it? That way you can get an idea of what it look like and then perhaps asymptotic analysis.

Have you tried writing it as a first order system?

Solving ay'' + b|y|y' + cy + dx = 0

Discussion

Undergrad Why ##a^0=1##?

Undergrad Finding the minimum distance between two curves

Undergrad Mixed approximation vs. full approximation for a power series expansion

Undergrad Correct Upper/Lower limits for continuation of solutions for ODE

High School Arc Length for Hyperbolic Sin

Undergrad Correct Upper/Lower limits for continuation of solutions for ODE

Graduate About ellipticity and a proof that a system of PDEs is elliptic

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Solving ay'' + b|y|y' + cy + dx = 0

Discussion

Similar threads

Graduate Can you solve (a-bx)y'+(c-dx)y-e=0 with a,b,c,d,e constants?

Solve y'' - (y')²/y + 2(y')²/y² - (y')⁴/y⁴ = 0 with y(0)=1, y'(0)=0

Solving a Non-Exact ODE: $(y-2x^2y)dx +xdy = 0$

Graduate Solving Differential Equations of the Form y'+Cy^2=D

Undergrad How to Approach Solving 2y+(y')^2+ax^b=0?

Obtain a nonzero solution of ##y''-4y'+x^2(y'-4y)=0## by inspection

Graduate Solving d³y/dx³ + d²y/dx² - dy/dx = 0

Undergrad Is the Differential Equation (y^2 - 1)*dx/dy + x = 0 Linear?

Solve the differential equation: y′′y′+yy′+yy′′=0

Graduate Solving y'' + ayy' + b = 0 with substitution