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Popular >

solvefor y,((d^2y))/((dx^2))-y=x-1

Solution

solve for

y, \frac{( d ^{2} \cdot y )}{( d \cdot x ^{2} )} - y = x - 1

Solution

y = \frac{x ^{3} - x ^{2}}{d - x ^{2}}; x \neq = 0, d \neq = x^{2}

Solution steps

\frac{( d ^{2} y )}{( d x ^{2} )} - y = x - 1

Cancel

\frac{d ^{2} y}{d x ^{2}} : \frac{d y}{x ^{2}}

\frac{d y}{x ^{2}} - y = x - 1

Multiply both sides by

x^{2}

d y - y x^{2} = x^{3} - x^{2}; x \neq = 0

Factor

d y - y x^{2} : y (d - x^{2})

y (d - x^{2}) = x^{3} - x^{2}; x \neq = 0

Divide both sides by

d - x^{2}; x \neq = 0, d \neq = x^{2}

y = \frac{x ^{3} - x ^{2}}{d - x ^{2}}; x \neq = 0, d \neq = x^{2}

Popular Examples

solvefor f,x(x^3-1)*f=1 solve for

f, x (x^{3} - 1) \cdot f = 1

((5x-1))/4-((3x-1))/6 = 32/3

\frac{( 5 x - 1 )}{4} - \frac{( 3 x - 1 )}{6} = \frac{32}{3}

solvefor x, x/9 = 3/y+1/18 solve for

x, \frac{x}{9} = \frac{3}{y} + \frac{1}{18}

solvefor x,8!=3x+3y solve for

x, 8! = 3 x + 3 y

solvefor x,12x-3 y/7 a= 1/a-13 solve for

x, 12 x - 3 \frac{y}{7} a = \frac{1}{a} - 13

Frequently Asked Questions (FAQ)

What is the answer to solvefor y,((d^2*y))/((d*x^2))-y=x-1 ?
The answer to solvefor y,((d^2*y))/((d*x^2))-y=x-1 is y=(x^3-x^2)/(d-x^2);\quad x\ne 0,d\ne x^2