Differential Equations-I

Special method for solving a Linear Differential Equation with constant coefficients Method of undetermined coefficients Topic Special method for solving a Linear Differential Equation with constant coefficients Method of Undetermined Coefficients Method of Variation of parameters Method of Undetermined Coefficients Problems Use the method of undetermined coefficients to solve (d^2 y)/(dx^2) + dy/dx-2y = x+sinx Solve by the method of undetermined coefficients (D^2-3D+2)y = x^2+e^x By the method of undetermined coefficients solve (d^2y/dx^2)+y = 2 cos x Solve (D^2 –…

Special method for solving a Linear Differential Equation with constant coefficients Method of Variation of parameters Topic Special method for solving a Linear Differential Equation with constant coefficients Method of Undetermined Coefficients Method of Variation of parameters Method of Undetermined Coefficients Problems Use the method of undetermined coefficients to solve (d^2 y)/(dx^2) + dy/dx-2y = x+sinx Solve by the method of undetermined coefficients (D^2-3D+2)y = x^2+e^x By the method of undetermined coefficients solve (d^2y/dx^2)+y = 2 cos x Solve (D^2…

Special method for solving a Linear Differential Equation with constant coefficients Method 1: Method of undetermined coefficients Method 2 : Method of Variation of parameters Topic Special method for solving a Linear Differential Equation with constant coefficients Method of Undetermined Coefficients Method of Variation of parameters Method of Undetermined Coefficients Problems Use the method of undetermined coefficients to solve (d^2 y)/(dx^2) + dy/dx-2y = x+sinx Solve by the method of undetermined coefficients (D^2-3D+2)y = x^2+e^x By the method of undetermined…

Solution of Non-homogenous Linear Differential Equation Solution of Non-homogenous Linear Differential Equation Specific forms of the Particular integral Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x…

Solution of Homogeneous Linear Differential equation Differential equation of second and higher order with constant coefficients Solution of Homogeneous Linear Differential Equation Method for finding the Complimentary Function Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve…

Differential equations of second and higher order with constant coefficients Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x + x Solve (d^4y/dt^4)-y = e^t cos t…