Differential Equations Answers

Find the general solution of the following differential equations using method of undetermined coefficients

(i) y''−7y'+10y =20e^5x −10

(ii) y''−2y'= x^2 +5x−2

(iii) y''+ 9y'+14y = 20+e^2x +e^−2x

(iv) y''−2y'+y =e^x+x^2

(v) y''−y'=cosx+5.

Find the general solution of the following differential equations using method of undetermined coefficients:, (v) y''+2y'+2y =e^x cos2x.

Find the general solution of the following differential equations using method of undetermined coefficients: (iv) y''−y =2sinx+2

Find the general solution of the following differential equations using method of undetermined coefficients: (iii) y''+ 4y' = sin5x+x−1,

Find the general solution of the following differential equations using method of undetermined coefficients: , (ii) 2y''−5y' = x^2 +5e^−4x,

Find the general solution of the following differential equations using method of undetermined coefficients: (iii) y''− 2y'+y = xsinx.

Find the general solution of the following differential equations using method of undetermined coefficients: (ii) y''−2y'+y =20e^xsinx,

Find the general solution of the following differential equations using method of undetermined coefficients: (i) y''−2y'+y =x2e5x,

Solve the following initial value problems using method of undetermined coefficients: (i) y''−9y = ex+x−1, y(0) = −1,y'(0) = 1,

Solve the following initial value problems using method of undetermined coefficients: (ii) y''+y' = 5xsinx, y(0) = 0,y(0) = 1.