Differential Equations Answers

Form a partial differential equation by eliminating the functions f and g from z =

yf(x) + xg(y).

Form a partial differential equation by eliminating the function f from z = f(y/x)

 x^3dx+(y+1)^2dy=0

Solve y^1=(2x+2y+3)/(2x+2y-1)

Solve y^1=(2x+2y+3)/(2x+2y-1)

Solve y^1=(2x+2y+3)/(2x+2y-1)

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,