Question

solve the ivp x'' + 4x = 0

Answer 1

using laplace and x(0) = 5 , x'(0) = 0

Answer 2

Have you learned second order differential equations?

Answer 3

\[\large \mathcal L\{x \prime \prime \}=s^2\mathcal L\{x\}-s x(0)-x \prime (0)\]

Answer 4

\[\large \mathcal L\{4x \}=4\mathcal L\{x\}\]

Answer 5

just sub and solve \[\large \mathcal L \{x\}\] then use the inverse laplace transform to find the solution x(t)

Answer 6

Ah! You want Laplace transforms. Then @sirm3d seems to be doing a fine job at explaining.

Answer 7

:(

Answer 8

what part do you need clarification?