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The solution of the differential equation dy/dx = f(x, y) through a given point (x0, y0) can be written as y = F(x). The Euler's method determines discrete points on the solution curve y = F(x). Let (x1 , y1,) be first point calculated and let (y')0 denote the value of dy/dx at (x0, y0) then
  • a)
    y1 = (y')0 (x1 - x0)
  • b)
    y1 = x0 + (y')(x1 - x0)
  • c)
    y1 = y0 + (y')(x1 - x0)
  • d)
    None of the above is true
Correct answer is option 'C'. Can you explain this answer?
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The solution of the differential equation dy/dx = f(x, y)through a giv...
Proof : Integrating the differential equation


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The solution of the differential equation dy/dx = f(x, y)through a giv...
Proof : Integrating the differential equation


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The solution of the differential equation dy/dx = f(x, y)through a given point (x0, y0) can be written as y = F(x). The Eulers method determines discrete points on the solution curve y = F(x). Let (x1, y1,) be first pointcalculated and let (y)0denote the value of dy/dxat (x0, y0) thena)y1 = (y)0 (x1 - x0)b)y1 = x0+ (y)0(x1 - x0)c)y1 = y0+ (y)0(x1 - x0)d)None of the above is trueCorrect answer is option 'C'. Can you explain this answer?
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The solution of the differential equation dy/dx = f(x, y)through a given point (x0, y0) can be written as y = F(x). The Eulers method determines discrete points on the solution curve y = F(x). Let (x1, y1,) be first pointcalculated and let (y)0denote the value of dy/dxat (x0, y0) thena)y1 = (y)0 (x1 - x0)b)y1 = x0+ (y)0(x1 - x0)c)y1 = y0+ (y)0(x1 - x0)d)None of the above is trueCorrect answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about The solution of the differential equation dy/dx = f(x, y)through a given point (x0, y0) can be written as y = F(x). The Eulers method determines discrete points on the solution curve y = F(x). Let (x1, y1,) be first pointcalculated and let (y)0denote the value of dy/dxat (x0, y0) thena)y1 = (y)0 (x1 - x0)b)y1 = x0+ (y)0(x1 - x0)c)y1 = y0+ (y)0(x1 - x0)d)None of the above is trueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The solution of the differential equation dy/dx = f(x, y)through a given point (x0, y0) can be written as y = F(x). The Eulers method determines discrete points on the solution curve y = F(x). Let (x1, y1,) be first pointcalculated and let (y)0denote the value of dy/dxat (x0, y0) thena)y1 = (y)0 (x1 - x0)b)y1 = x0+ (y)0(x1 - x0)c)y1 = y0+ (y)0(x1 - x0)d)None of the above is trueCorrect answer is option 'C'. Can you explain this answer?.
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