Solve the initial-value problem y" + y = e-4 sin t, y(0) = 0, %3D y'(0) = 0. %3D

Q: 4/3 5² = 2² -3 (2²) *² y' x

A:

Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

A:

Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

A:

Q: Solve for C in the solution for dx/dy = xy^3/(2y^4+x^4) ; y(2)=4 Use 2 decimal places

A: Here we have to solve the given differential equation

Q: x* + 4 dx : %3D 3

A:

Q: Solve the bernoulli equation dx/dy+(2/x)y=-x^2y^2cos(x)

A:

Q: Solve: y" + y'tanx = (y')²

A:

Q: Solve  3(1 + t2)y' = 2ty(y^3 - 1)

A: The given differential equation is: 3(1+t2)y'=2ty(y3-1)...(1)

Q: Solve the differentual equation y'(sinh 3y - 2xy) =y^2

A: y′ =y2−1sinh(3y)−2xy  Exact Differential Equation An ODE M(x, y)+N(x, y)y′=0 is in exact form…

Q: 6. Determine the y'of * y = eese 3x

A: topic- derivative of a function

Q: y'=2+ye^(xy)/2y-xe^(xy) find the exact equation

A: Exact DE

Q: Solve the homogenous equation (y +(x^2 + y^2)^1/2)dx−xdy = 0

A: According to the given information, it is required to solve the given homogeneous differential…

Q: Solve y"= sin(r) if y(0) = 0 and y (0) = 8. y(z) = help (formulas)

A:

Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2

A:

Q: Solve x³y"+6x²y"+4xy' = 0.

A:

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.