8. Using Eular's method, solve the differential equation dx -1 = y, where y (0) = 0 taking h = 0-1 and obtain y (0-1), y (0-2) and y (0-3).

Q: Solve the differential equation by using an integrating factor: y+(4+2) y = 0, y(1) m 9

A:

Q: (a) 2xy? + x²y' = y², y(1) = = -1 (а) Зу(2? — 1) + (»3 + 8y — За) dy (b) 4x?3 dy гу* + 2 dæ (e) xy'…

A:

Q: Solve the differential equation for general solution dy = - dx V y = 14x + C O y = /14x + C, or y =…

A:

Q: Solve the differential equation y'(t) + 1.9y(t) = 1.9el-alt; y(0) = What is the value when t = 1.76?

A:

Q: dy The solution of the differential equation 2xy dx = x² + 3y² with y(1) = 3 is dx

A: Topic = Differential equation

Q: Explain how to solve a separable differential equation of the form g(y) y'(t) = h(t).

A: A separable differential equation is one in which the terms of two variables in the term can be…

Q: yl" +4y/+3y =1

A: we will solve this by using Laplace transformation. Consider the equation y''+4y'+3y=1. Take Laplace…

Q: What is the value of m in the equation m+) dx + (G+:) dy = 0 to complete the differential equation?…

A:

Q: ind m so that y =emr is a solution of the differential equation y'=-9y.

A: Take y=emx be the solution, then it must satisfy the given ode.

Q: dy/dx=(y+7)(y-7), where y(0)=10. Solve the differential equation.

A:

Q: Find the complete or particular solution of the given differential equation: У(x? + ху — 2у?)dx +…

A:

Q: What is the value of y'(0) for the solution with initial value y(0) = 2?

A: Given differential equation isWe have to find the value of  for the solution with initial value

Q: Q3: Solve the differential equation: y "- yy "=(y ')'

A: Given that, y'''-yy''=(y')2 This can be written as, y'''=(y')2+yy'' Therefore, d(yy')=yy''+y'y' So…

Q: Solve the differential equation y’=xsqrt(y); y(0)=1

A: