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Solve ∫y=0 ^ 1 ∫x=y^ 2 ^ 1∫z=0 ^ 1-x x dzdxdy ?derive the problem with step by step?
Solve dy/dx= 4x² (y-x)² + y/x if y=x is a particular solution.
∫0^∞e^x³ dx is equal to
A) 1/3Γ(1/3)
B) 1/2Γ(1/3)
C) Γ(1/3) D) 3Γ(1/3)
The integral factor of (x²y)dx- (x³ + y³)dy = 0 is,, Choose the correct answer
A) -y^4
B) -1/y^4
C) y^4 D) 1/y^4
The solution of ye^{x}dx + (2y + e^{x})dy=0, y(0) = -1 is, choose the correct answer A) y = e^{x}. B) y=e^{-x} C) y = 1 D) y = -1
The particular integral value of (D² + 4)y = sin²x is
A) 1/8-x/8 sin2x
B) 1/8+x/8 Sin2x
C) 1/8-x/8 Cos2x D)1/8+x/8cos2x
The yp value of (D²− 3D+ 2)y = e^{3x}, choose the correct answer
A) 1/2 e^{3x}
B) e^{3x}
C) 2e^{3x}. D) 3e^{3x}
The value of 1/D²+3D (2 + 6x) =______ choose the correct answer?
A) x
B) x² C) 0 D) 1
Solution of (D³ - 2D² - 3D)y = 0,, choose the correct answer
A) y = C1.₁e^{x} + C₂е^{-x }+ С3.e^{3x} B) y = C1e^x + C₂е^{-x} + С3.e^{-3x}
C) y = C1+C₂е^{-x} + С3.e^{3x}
D) y = C₁+C₂е^{-x} + С3e^{-3x}
If f(x, y) = 1, then the value of ∫∫R 1 dxdy gives,,, choose the correct answer?
A) 2 * Area of the region R
B) 1/2* Area of the region
C) Area of the region R R
D) 0
