Find a solution of the following differential equations satisfying the given initial conditions y''+y'+y=x2 , y(0)=1,...

Find a solution of the following differential equations satisfying the given initial conditions

y''+y'+y=x² , y(0)=1, y'(0)=1

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milcah answered 2 years ago

Elementary Differential Equations Problems: 1) Find the solution of the initial value problem of y" +...

Elementary Differential Equations Problems: 1) Find the solution of the initial value problem of y" + 3y' = 0, y(0) = -2, y'(0) = 3 2) Find the general solution of the equation 4y" - 9y = 0 3) Find the general solution of the equation dy/dt = 2t(y – 2y2) 4) Given the second order linear homogeneous equation y"- 2y' + y = 0, a) Verify that y1(t) = e^t and y2(t) = t e^t are solutions of the...

Differential Equations: Find the general solution by using infinite series centered at a. 2. (x2 +1)y′′...

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Consider the following differential equation: x2y"-2xy'+(x2+2)y=0 Given that y1=x cos x is a solution, find a...

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