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Popular >

x^{''}+4x=3

Solution

x^{^{''}} + 4 x = 3

Solution

x = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{3}{4}

Solution steps

x^{''} (t) + 4 x = 3

Solve linear ODE:

x = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{3}{4}

x = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{3}{4}

Graph

Popular Examples

integral of 7/(x^3-27)

\int \frac{7}{x ^{3} - 27} d x

limit as x approaches 4 of-3/((x-4)^2)

x \to 4 lim (- \frac{3}{( x - 4 ) ^{2}})

(\partial)/(\partial x)(sqrt(5))

\frac{\partial}{\partial x} (5)

(dy)/(dx)=e^{2-x}

\frac{d y}{d x} = e^{2 - x}

limit as x approaches 2 of x/([(x^2)-4])

x \to 2 lim (\frac{x}{[ ( x ^{2} ) - 4 ]})

Frequently Asked Questions (FAQ)

What is the solution for x^{''}+4x=3 ?
The solution for x^{''}+4x=3 is x=c_{1}cos(2t)+c_{2}sin(2t)+3/4