Given the differential equation 3y" - y' = 2x, the complementary solution is A. y = C₁ + C₂ex B. y = C₁ + C2e-x C. y = C₁ex + C₂ex D. y = C₁ex + C₂ex The assumed particular solution, yp of the previous problem is A. Ax + B B. Ax² + Bx C. Ax² + Bx + C D. Ax² Find the assumed particular solution of the differential equation y” + y' – 2y = 2x - 40 cos 2x A. Aex + Be-2x B. AxB cos 2x C. Ax+B+C cos 2x + D sin 2x D. Aex + Be-2x + Cx + D + E cos 2x
Given the differential equation 3y" - y' = 2x, the complementary solution is A. y = C₁ + C₂ex B. y = C₁ + C2e-x C. y = C₁ex + C₂ex D. y = C₁ex + C₂ex The assumed particular solution, yp of the previous problem is A. Ax + B B. Ax² + Bx C. Ax² + Bx + C D. Ax² Find the assumed particular solution of the differential equation y” + y' – 2y = 2x - 40 cos 2x A. Aex + Be-2x B. AxB cos 2x C. Ax+B+C cos 2x + D sin 2x D. Aex + Be-2x + Cx + D + E cos 2x
Given the differential equation 3y" - y' = 2x, the complementary solution is A. y = C₁ + C₂ex B. y = C₁ + C2e-x C. y = C₁ex + C₂ex D. y = C₁ex + C₂ex The assumed particular solution, yp of the previous problem is A. Ax + B B. Ax² + Bx C. Ax² + Bx + C D. Ax² Find the assumed particular solution of the differential equation y” + y' – 2y = 2x - 40 cos 2x A. Aex + Be-2x B. AxB cos 2x C. Ax+B+C cos 2x + D sin 2x D. Aex + Be-2x + Cx + D + E cos 2x
Please answer these three question using differential equation thank you
Transcribed Image Text:Given the differential equation 3y" - y' = 2x,
the complementary solution is
A. y = C1+ C₂ex
B. y=C1 C2e-/x
C. y = C₁ex + C₂ex
D. y = C₁ex + C₂e¯½
The assumed particular solution, yp of the
previous problem is
A. Ax + B
B. Ax² + Bx
C. Ax² + Bx + C
D. Ax²
Find the assumed particular solution of the
differential equation y” + y′ – 2y = 2x - 40 cos
2x
A. Aex + Be-2x
B. AxB cos 2x
-
C. Ax+B+C cos 2x + D sin 2x
D. Aex + Be-2x + Cx + D + E cos 2x
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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