Solve the following differential equations: a). dy/dx + 4xy = xy^3 b). 4x^2y + 4xy' -y...

Transcribed Image Text:

Solve the following differential equations: a). dy/dx + 4xy = xy^3 b). 4x^2y" + 4xy' -y =0 c). x^2y" +3xy' + y =0 d). y^(1/2) dy/dx + y^(3/2)=1 e). y'=-(1/x)y^2 + (2/x)y f). x^2 y"+7xy' +9y=0 g). x (dy/dx) +y =(1/2)xy^3 h). x^y" -7xy' +41 y=0 Solve the following differential equations: a). dy/dx + 4xy = xy^3 b). 4x^2y" + 4xy' -y =0 c). x^2y" +3xy' + y =0 d). y^(1/2) dy/dx + y^(3/2)=1 e). y'=-(1/x)y^2 + (2/x)y f). x^2 y"+7xy' +9y=0 g). x (dy/dx) +y =(1/2)xy^3 h). x^y" -7xy' +41 y=0