Find the solution of the initial-value problem dy - 2y = 2.x", y(2) = 8. dx

Q: 3x2y' = 5x - 6xy, x=2 when y=1

A:

Q: 3x²y' = x(5-6y) x = 1; y = 2

A:

Q: Solve the Bernoulli's equation dy/dx −1/2(1+ 1/ x)y = (3 /x)y^3

A:

Q: Solve the first order o.d.e dy/dx=(1+y^2)e^x

A:

Q: dy/dx = 6x^5sqrt(y-1) equals to y = [(1/2)(x^6+c)]^2 + 1? Diff eqn.

A: ∫tndt=tn+1n+1+cgiven  dydx=6x5y-1          dyy-1=6x5dxintegrate both sides

Q: If 2x2-3y2=5xy, then find dy/dx | x,y=(2,-4)

A:

Q: 2. 16-x dx 2.

A:

Q: Classify and Solve the following x(dy/dx) + 4y = (x^4)(y^2) subject to y(1) = 1

A:

Q: dy/dx=x+2y-5/x-3y+2

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.