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USHA PUBLICATION-INTEGRATION AREA UNDER PLANE CURVES DIFFERENTIAL EQUATION -EXERCISE
- Find the area of the region enclosed by y^2=x,x=0,y=2
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- Solve the following differential equation:dy/dx+(2x)/(1+x^2)y=(x^3)/(1...
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- Solve the following differential equation :(1+y^2)dx=(tan^-1y-x)dy
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- Solve the following differential equation:x(dy)/(dx)+y^2/x=y
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- Solve the following differential equation:x(dy)/(dx)+y^2/x=y
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- Write the degree of differential equation:(d^2y)/dx^2+3(dy/dx)^2=xlog(...
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- Find the equation of a curve passing through the point(0,-2),given th...
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- Solve each of the following differential equations : x cos y""dy= (x...
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- If dy/dx=-y^2/100and y(0)=15,find the value of x when y=10.
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- If (dT)/dt=-K(T-S)where K and S are constants,find T when T(0)=100.
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- If (dC)/dx=2+0.15xfind C(x)given that C(0)=150.
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- Evaluate: int (x^2)/(x^4+x^2+1) dx
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- Evaluate: int (4x^5)dx
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- intx/((a^2-x^2)(x^2-b^2)) dx
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- Evaluate int (dx)/((x+1)sqrt(1-x^2))
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- int(x^2+2x+1)/sqrt(x+4)dx
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- Evaluate: int(3+2cosx+4sinx)/(2sinx+cosx+3) dx
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- Evaluate: int(2)/(1-cos2x)dx
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- Evaluate the following integrals : Evaluate int(0)^(pi//2)(xsinxcosx...
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- int0^pi(xsinxdx)/(1+cos^2x)
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