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Questions and Answers
What is the particular integral of the differential equation $D^2y/dx^2 + dy/dx = x^2 + 2x + 4$?
What is the particular integral of the differential equation $D^2y/dx^2 + dy/dx = x^2 + 2x + 4$?
- $2x^3/3 + 4x^2$
- $x^3/3 + 4x$ (correct)
- $x^2 + 2x + 4$
- $3x^2 + 4x$
In which case is the particular integral of $F(D)y = X^α, α > 0$ given as $yp(x) = F(D)^{-1}X^α$?
In which case is the particular integral of $F(D)y = X^α, α > 0$ given as $yp(x) = F(D)^{-1}X^α$?
- Case 1
- Case 3 (correct)
- Case 2
- Case 4
What is the general formula for the particular integral?
What is the general formula for the particular integral?
- yp(x) = F(D)^{-1}X^α (correct)
- yp(x) = F(D)X^α
- yp(x) = F(D)X^α + X^β
- yp(x) = F(D)^{-1}X^β
What should be the value of α for the particular integral of $F(D)y = X^α, α > 0$?
What should be the value of α for the particular integral of $F(D)y = X^α, α > 0$?
How is the particular integral of $F(D)y = X^α, α > 0$ obtained?
How is the particular integral of $F(D)y = X^α, α > 0$ obtained?
What is the particular integral of the differential equation $D^2y/dx^2 + dy/dx = x^2 + 2x + 4$?
What is the particular integral of the differential equation $D^2y/dx^2 + dy/dx = x^2 + 2x + 4$?
What is the formula for the particular integral when $F(D)y = X^α, α > 0$?
What is the formula for the particular integral when $F(D)y = X^α, α > 0$?
In which case is the particular integral of $F(D)y = X^α$ given as $yp(x) = F(D)^{-1}X^α$?
In which case is the particular integral of $F(D)y = X^α$ given as $yp(x) = F(D)^{-1}X^α$?
What are the special cases for the particular integral?
What are the special cases for the particular integral?
How is the particular integral of $F(D)y = X^α, α > 0$ obtained?
How is the particular integral of $F(D)y = X^α, α > 0$ obtained?
