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Popular >

(D^2-4D)y=0

Solution

(D^{2} - 4 D) y = 0

Solution

y = c_{1} e^{4 x} + c_{2}

Solution steps

(D^{2} - 4 D) y = 0

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2}

y = c_{1} e^{4 x} + c_{2}

Graph

Popular Examples

5y^{''}+24y^'-5y=0

5 y^{^{''}} + 24 y^{^{'}} - 5 y = 0

y^{''}-14y^'+58y=0,y(0)=5,y^'(0)=-4

y^{^{''}} - 14 y^{^{'}} + 58 y = 0, y (0) = 5, y^{^{'}} (0) = - 4

x^{''}+8x^'+25x=0

x^{^{''}} + 8 x^{^{'}} + 25 x = 0

(D^2+9)y=0,Dy=0,y=2,x=30

(D^{2} + 9) y = 0, Dy = 0, y = 2, x = 30

y^{''}-12y^'+36y=0,y(0)=e^{6x}

y^{^{''}} - 12 y^{^{'}} + 36 y = 0, y (0) = e^{6 x}

Frequently Asked Questions (FAQ)

What is the solution for (D^2-4D)y=0 ?
The solution for (D^2-4D)y=0 is y=c_{1}e^{4x}+c_{2}