Graph without calculating the solutions/values y" + y' + 4y = &1(t), y(0) = 3, y'(0) = 0.

Q: Find the derivatives

A:

Q: y" - 8y + 25y = 0; y(0) = 0, y'(0) = 3

A: y''-8y'+25y=0; y(0)=0, y'(0)=3 We have to solve it using Laplace transform.

Q: Calculate y" and y'. y = 0²(20 + 4) y" = y" : II

A: Given function is : y = Ѳ2( 2Ѳ + 4)

Q: IF THE CURVE OF THE FUNCTION F (X) = Y PASSES THROUGH THE TWO POINTS (2,2) AND (1, K) AND SATISFIES…

A: We have to solve given problem:

Q: 2) Solve the equation y' = Y 4x²y + x

A:

Q: Solve for y(x):

A:

Q: Find y' y = 3x-2 2x+3

A: Given Functiony=(i) (ii) (iii)

Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

A:

Q: Find y'' y = y" = 3x + 5 2x - 1 ...

A:

Q: What is the order of the equation y" y- (y')³=4?

A:

Q: sec (2 – 3x) A. – 9sec (2 – 3x)tan (2 – 3x) - 9sec (2 – 3x) tan tan (2 – - C. 9 sec (2 – 3x) tan tan…

A:

Q: Find y'' for y = 4+ or y= (4 + ³) ³. X y"=0 3 5

A:

Q: Solve y" - 2y" - y' + 2y = 0. Include a plot of the solution curves.

A:

Q: Find all solutions to the equation (D^2 − 3D + 2)y(x) = 2e^3x.

A:

Q: Solve :     x²y"-2x(1+x)y'+2(1+x)y = x3

A: Given: The second order differential equation is x2y''-2xx+1y'+2x+1y=0

Q: y'=(2x+2y+1)/(x+y-1)  Solve the equation.?

A: Consider the given equation. y'=2x+2y+1x+y-1 Put v=x+y in the above function. dvdx=1+dydx

Q: Determine the solution by the method of variation of parameters. y'''+y''=12e^(2x)

A: y'''+y''=12e2x

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.