solve using forbenious series 3xy''+(2-x)y'-y=0

solve using forbenious series

3xy''+(2-x)y'-y=0

Expert Solution

Colby Messinger answered 2 years ago

Consider the differential equation: y'(x)+3xy+y^2=0. y(1)=0. h=0.1 Solve the differential equation to determine y(1.3) using: a....

Consider the differential equation: y'(x)+3xy+y^2=0. y(1)=0. h=0.1 Solve the differential equation to determine y(1.3) using: a. Euler Method b. Second order Taylor series method c. Second order Runge Kutta method d. Fourth order Runge-Kutta method e. Heun’s predictor corrector method f. Midpoint method

Find two power series solutions of the given differential equation about the point x=0 (x^2+2) y″+3xy'-y=0

solve using series solutions (x^+1)y''+xy'-y=0

Solve 3xy'' + y' - y = 0 by the Method of Frobenius.

using series to solve differential equations using series to solve differential equations 1.) y’’-(e^5x)y’+xy=0,y(0)=2,y’(0)=1

Solve the following differential equation using the power series method. (1+x^2)y''-y'+y=0

Solve (1+e^x)dy/dx+(e^x)y=3x^2+1 Solve (x^3+y^3)dx+3xy^2 dy = 0 Solve (y-cos y)dx + (xsiny+x)dy = 0 Solve (1+ln...

Solve (1+e^x)dy/dx+(e^x)y=3x^2+1 Solve (x^3+y^3)dx+3xy^2 dy = 0 Solve (y-cos y)dx + (xsiny+x)dy = 0 Solve (1+ln x +y/x)dx = (1-lnx)dy Solve (y^2+yx)dx - x^2dy =0 Solve (x^2+2y^2)dx = xydy Solve Bernoulli's Equation x dy/dx + 2y = (x^4)(e^x)(y^2) Solve Bernoulli's Equation (1+x^2) dy/dx = 2xy +(e^x)(y^2) Solve IVP (3e^(x^2))dy + (xy^2)dx=0 ; y(1) = 2 Solve IVP dy/dx -2xy = e^(x^2) ; y(0)=0 Solve IVP (x^2+y^2)dx+(2xy)dy=0; y(1)=1 6. Mixture Problem Initially 40 lb of salt is dissolved in a large...

y"+3xy'-4y=0 Solve the differential equation.

Consider the following equation: (3 − x^2 )y'' − 3xy' − y = 0 Derive the...

Consider the following equation: (3 − x^2 )y'' − 3xy' − y = 0 Derive the general solution of the given differential equation about x = 0. Your answer should include a general formula for the coefficents.

Diff. equations Consider the equation (x^2 − 2)y''+ 3xy'+ y = 0. a) Find the general...

Diff. equations Consider the equation (x^2 − 2)y''+ 3xy'+ y = 0. a) Find the general solution as a power series centered at x = 0. Write the first six nonzero terms of the solution. And write the solution using sigma notation with a formula for the coefficients. Write the two linearly independent solutions that form the general solution. b) Find a power series solution satisfying the initial conditions y(0) = 2 and y' (0) = 3. Write the first...

Question