Important Questions [9]
- Use Taylor’S Series Method to Find a Solution of D Y D X = 1 + Y 2 , Y ( 0 ) at X = 0.1 Taking H=0.1 Correct Upto 3 Decimal Places.
- P Use Taylor Series Method to Find a Solution of D Y D X = X Y + 1 , Y ( 0 ) = 0 X=0.2 Taking H=0.1 Correct Upto 4 Decimal Places.
- If 𝒚 Satisfies the Equation D Y D X = X 2 Y − 1 with X 0 = 0 , Y 0 = 1 Using Taylor’S Series Method Find 𝒚 𝒂𝒕 𝒙= 𝟎.𝟏 (Take H=0.1).
- Solve D Y D X = X . Y with Help of Euler’S Method ,Given that Y(0)=1 and Find Y When X=0.3 (Take H=0.1)
- Using Modified Eulers Method ,Find an Approximate Value of Y at X = 0.2 in Two Step Taking H=0.1 and Using Three Iteration Given that D Y D X = X + 3 Y , Y = 1 When X = 0.
- Apply Rungee-kutta Method of Fourth Order to Find an Approximate Value of Y When X=0.2 Given that D Y D X = X + Y When Y=1 at X=0 with Step Size H=0.2.
- Solve D Y D X = X 3 + Y with Initial Conditions Y(0)=2 at X= 0.2 in Step of H = 0.1 by Runge Kutta Method of Fourth Order.
- Solve D Y D X + X Sin 2 Y = X 3 Cos 2 Y
- Evaluate ∫ ∞ 0 E − X 2 √ X D X
