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受欢迎的代数 >

solvefor y,((d^2y))/((dt^2))+y=8cos(t)

解答

求解

y, \frac{( d ^{2} \cdot y )}{( d \cdot t ^{2} )} + y = 8 cos (t)

解答

y = \frac{8 cos ( t ) t ^{2}}{d + t ^{2}}; t \neq = 0, d \neq = - t^{2}

求解步骤

\frac{( d ^{2} y )}{( d t ^{2} )} + y = 8 cos (t)

消掉

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

\frac{d y}{t ^{2}} + y = 8 cos (t)

在两边乘以

t^{2}

d y + y t^{2} = 8 cos (t) t^{2}; t \neq = 0

分解

d y + y t^{2} : y (d + t^{2})

y (d + t^{2}) = 8 cos (t) t^{2}; t \neq = 0

两边除以

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

y = \frac{8 cos ( t ) t ^{2}}{d + t ^{2}}; t \neq = 0, d \neq = - t^{2}

作图

流行的例子

solvefor x,x=a*t^2+v_{0}*t+x_{0}

so l v e f or x, x = a \cdot t^{2} + v_{0} \cdot t + x_{0}

solvefor x, p/((1-p))= x/y

so l v e f or x, \frac{p}{( 1 - p )} = \frac{x}{y}

solvefor g,2log_{10}(x^2y)=3+log_{10}(x)-log_{10}(y)

so l v e f or g, 2 lo g_{10} (x^{2} y) = 3 + lo g_{10} (x) - lo g_{10} (y)

a=sqrt(32)*sqrt(2)

a = 32 \cdot 2

solvefor x,1f=11x

so l v e f or x, 1 f = 11 x