Question

Write the second order differential equation as a system of two linear differential equations then solve it.

x''-6x'+13x=0 x(0)= -1 x'(0)=1

Answer #1

Solve the following differential equations
y''-4y'+4y=(x+1)e2x (Use Wronskian)
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Solve the second-order linear differential equation
y′′ − 2y′ − 3y = −32e−x using the method of variation of
parameters.

Given the second-order differential equation
y''(x) − xy'(x) + x^2 y(x) = 0
with initial conditions
y(0) = 0, y'(0) = 1.
(a) Write this equation as a system of 2 first order
differential equations.
(b) Approximate its solution by using the forward Euler
method.

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{x′ = 6x + 4y
{y′=−2x
satisfying the initial conditions x(0)=−5 and
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x(t) = _____
y(t) = _____

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b. x , e^x

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integrating fac-
tor. For problem solve the initial value problem. For each
problem, specify the solution
interval.
dy/dx−2xy=x, y(0) = 1

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Use first order linear differential equations for solving
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In 1986, the world's worst nuclear accident occurred in
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What percent of Cesium 137 released in 1986 remain in 2016?

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dx/dt + dy/dt − 6x − 6y = 2
x(0) = 0, y(0) = 0

Solve the differential equation write the answer without
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(6y+x^2y^11) dx - (x^3y^10-6x) dy = 0

1250) y=Aexp(Bx)+Fexp(Gx) is the particular solution of
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(y'') + ( 2y') + (-24y) = 0, subject to the boundary conditions:
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