How do you solve T"+(a^2)*lamba*t=0

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: (x-4)^2-(x-4)=20 Solve the equation

A:

Q: What value of k makes the equation true? (5a^(2)b^(3))(6a^(k)b)=30a^(6)b^(4)

A:

Q: x^2+3x+10<3x^2-15x+26 solve ineq

A: Let,

Q: For the quadratic equation 9x^2+(3k+1)x+4=0 find the value(s) of k so that there is 1 real root.

A:

Q: X -10)^2 =45 Solve for x and show all steps. The ^2 represents an exponent

A:

Q: How to factor f(x)= 5x^4+3x^2-2 so you can get the zeros of the function

A: We have to write 3x^2 as 5x^2-2x^2.

Q: X^4 -3x^3 -x^2 -9x -12=0  Find all rational

A:

Q: x + 5x + 8>x² - 2x + 1

A: We have to solve the given inequality.Given inequality-

Q: 8^(4x-12)=4000000

A:

Q: complete the square of x^2-x+1

A: You can complete the square without using the formula (b/2)2 Just remember this form : ( I )2± 2 ( I…

Q: Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

A: Given, To Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

Q: How to solve for P in this scenario 0= -25,000,000+(210,000x(P-75))/1.09^2?

A: The given equation is: 0= -25,000,000+(210,000x(P-75))/1.09^2

Q: simplify 3n+1/n^2-1 - 1/n+1

A: 3n+1n2-1-1n+1 where 3n+1n2-1 is Ist term and 1n+1 is the IInd term.

Q: X/x-3 - 30/x^2-9 = 5/x+3 solve for x

A:

Q: Hi, I am confused how did you get the equation 17(1)^2-14(1)+3 in step 2 of your explanation?

A: We have to tell how to get the equation  17(1)2 - 14(1) + 3 in step 2

Q: How do you solve T"+(a^2)*lamba*t=0?

A: The general form of a homogeneous linear ordinary equation with constant coefficients is given by…

Q: (x^4+7x^3+10x^2-x-2)/(x+2) How to solve using synthetic divison?

A: Synthetic division

Q: (8x^4y^-2/xy^4)^2/3

A:

Q: How to solve step by step: (8)^-1/3 - (9)^-1/2 + 6^-1

A: 8-1/3 - 9-1/2 + 6-1

Q: For what value(s) of k will the function f(x) = 2x^2- kx + 18 have: a) have 2 equal roots b) two non…

A: compare this function with the standard equation of the quadratic function  so here we have find…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.