Solve the initial value problem z(5)+ 2z'''- 8z' = 0, where z(0) = 4, z'(0) =...

Solve the initial value problem z⁽⁵⁾+ 2z^'''- 8z^' = 0, where z(0) = 4, z'(0) = 2, z"(0) = 8, z"'(0) = 12, and z⁽⁴⁾(0) = 8

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milcah answered 2 years ago

(3 pts) Solve the initial value problem 25y′′−20y′+4y=0, y(5)=0, y′(5)=−e2. (3 pts) Solve the initial value...

(3 pts) Solve the initial value problem 25y′′−20y′+4y=0, y(5)=0, y′(5)=−e2. (3 pts) Solve the initial value problem y′′ − 2√2y′ + 2y = 0, y(√2) = e2, y′(√2) = 2√2e2. Consider the second order linear equation t2y′′+2ty′−2y=0, t>0. (a) (1 pt) Show that y1(t) = t−2 is a solution. (b) (3 pt) Use the variation of parameters method to obtain a second solution and a general solution.

2. Use the Laplace transform to solve the initial value problem. ?"+4?=?(?), ?(0)=1, ?′(0)=−1 = {...

2. Use the Laplace transform to solve the initial value problem. ?"+4?=?(?), ?(0)=1, ?′(0)=−1 = { 1, ? < 1 where ?(?) = {0, ? > 1.

Solve the following initial value problem over the interval from t = 0 to 2 where...

Solve the following initial value problem over the interval from t = 0 to 2 where y(0) = 1 using the following methods. dy/dt=y*t^2−1.1y a) Analytical method b) Euler's method with h=0.5 at t=2 c) Euler's method with h=0.25 at t=2 d) Midpoint method with h=0.5 at t=2 e) Fourth-order Runge-Kutta method with h=0.5 at t=2 f) Display all yor results obtained above on the same graph

Solve the following initial value problem over the interval from t = 0 to 1 where...

Solve the following initial value problem over the interval from t = 0 to 1 where y(0) = 1 using the following methods with a step size of 0.25. dy/dt=(1+4t)*sqrt(y) a) Analytical method b) Euler's method c) Heun's method without iteration d) Ralston's method e) Fourth-order Runge-Kutta method f) Display all your results obtained above on the same graph

Solve the following initial value problem. y(4) − 5y′′′ + 4y′′ = x, y(0) = 0, y′(0) ...

Solve the following initial value problem. y(4) − 5y′′′ + 4y′′ = x, y(0) = 0, y′(0) = 0, y′′(0) = 0, y′′′(0) = 0.

Solve the initial value problem y’cosx = a + y where y(π/3)=a and 0 please explain...

Solve the initial value problem y’cosx = a + y where y(π/3)=a and 0 please explain how you do everything

1. Use the Laplace transform to solve the initial value problem. ?"+4?′+3?=1−?(?−2)−?(?−4)+?(?−6), ?(0)=0, ?′(0)=0 2. Use...

1. Use the Laplace transform to solve the initial value problem. ?"+4?′+3?=1−?(?−2)−?(?−4)+?(?−6), ?(0)=0, ?′(0)=0 2. Use the Laplace transform to solve the initial value problem. ?"+4?=?(?), ?(0)=1, ?′(0)=−1 = { 1, ? < 1 where ?(?) = {0, ? > 1.

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Solve the initial value problem z(5)+ 2z'''- 8z' = 0, where z(0) = 4, z'(0) =...

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