apply picard iteration to ivp y’=2y^2, y(0)=1 and solve the solution apply picard iteration to ivp...

apply picard iteration to ivp y’=2y^2, y(0)=1 and solve the solution

apply picard iteration to ivp y’=2y^1/2, y(1)=0 and solve the solution

Expert Solution

Colby Messinger answered 1 year ago

a) Solve IVP: y" + y' -2y = x + sin2x; y(0) = 1, y'(0) = 0

a) Solve IVP: y" + y' -2y = x + sin2x; y(0) = 1, y'(0) = 0 b) Solve using variation of parameters: y" -9y = x/e^3x

Find the general solution and solve the IVP y''+y'-y=0, y(0)=2, y'(0)=0

Use laplace transform to solve IVP 2y”+3y’+y=8e^(-2t) , y(0)=-4 , y’(0)=2

1) . Solve the IVP: y^''+6y^'+5y=0, y(0)=1, y^' (0)=3 2. Find the general solution to each...

1) . Solve the IVP: y^''+6y^'+5y=0, y(0)=1, y^' (0)=3 2. Find the general solution to each of the following: a) y^''+2y^'+5y=e^2x b) y^''+2x/(x^2+1) y'=x c) y^''+4y=1/(sin⁡(2x)) (use variation of parameters)

3. Using the method of Laplace transforms solve the IVP: y'' + 3y'+2y=e2t, y(0)=1, y'(0)=1

1. solve the IVP: xy''-y/x=lnx, on (0, inifnity), y(1)=-1, y'(1)=-2 2.solve the IVP: y''-y=(e^x)/sqrtx, y(1)=e, y'(1)=0...

1. solve the IVP: xy''-y/x=lnx, on (0, inifnity), y(1)=-1, y'(1)=-2 2.solve the IVP: y''-y=(e^x)/sqrtx, y(1)=e, y'(1)=0 3. Given that y1(x)=x is a solution of xy''-xy'+y=0 on (0, inifinity, solve the IVP: xy''-xy'+y=2 on(0,infinity), y(3)=2, y'(3)=1 14. solve the IVP: X'=( 1 2 3) X, X(0)=(0 ##################0 1 4####### -3/8 ##################0 0 1 ########1/4

Given the differential equation y''+y'+2y=0, y(0)=−1, y'(0)=2y′′+y′+2y=0, y(0)=-1, y′(0)=2 Apply the Laplace Transform and solve for Y(s)=L{y}Y(s)=L{y}. You do not...

Given the differential equation y''+y'+2y=0, y(0)=−1, y'(0)=2y′′+y′+2y=0, y(0)=-1, y′(0)=2 Apply the Laplace Transform and solve for Y(s)=L{y}Y(s)=L{y}. You do not need to actually find the solution to the differential equation.

1- Use Heun’s method without iteration to solve ?2???2−0.5?+?=0 y(0) = 2 and y’(0) = 0...

1- Use Heun’s method without iteration to solve ?2???2−0.5?+?=0 y(0) = 2 and y’(0) = 0 solve from x = 0 to 3 using h = 0.2 (step size) present y values as a table versus x values (50p) Instructions about question 1: considering step size and interval for x it will not be reasonable to proceed through hand calculations. You may want to use excel or other software but you need to write down first 3 steps of the...

Solve the differential equation y''+y'-2y=3, y(0)=2, y'(0) = -1

SOLVE the IVP: (D^2+1)y = e^t, y(0) = -1 and y'(0) = 1. Thank you.

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