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Beliebt Rechnen >

(d^2y)/(dx^2)=4xcos(x^2)

Lösung

\frac{d ^{2} y}{d x ^{2}} = 4 x cos (x^{2})

Lösung

y = 2 π § (\frac{2}{π} x) + c_{1} x + c_{2}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} = 4 x cos (x^{2})

Ersetze

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

mit

y^{''} (x)

y^{^{''}} (x) = 4 x cos (x^{2})

Löse

y^{''} (x) = 4 x cos (x^{2}) : y^{'} (x) = 2 sin (x^{2}) + c_{1}

Löse

y^{'} (x) = 2 sin (x^{2}) + c_{1} : y = 2 π § (\frac{2}{π} x) + c_{1} x + c_{2}

y = 2 π § (\frac{2}{π} x) + c_{1} x + c_{2}

Beliebte Beispiele

3y^'+y=(1-2x)y^4

3 y^{^{'}} + y = (1 - 2 x) y^{4}

y = \frac{- 1}{3 x ^{2}}

derivative of 3sqrt(x)-4x^3+2^x-e+7

\frac{d}{d x} (3 x - 4 x^{3} + 2^{x} - e + 7)

tangent y=sqrt(1+x^3),(2,3)

t an g e n t y = 1 + x^{3}, (2, 3)

integral of 1/((x-2)ln(x-2))

\int \frac{1}{( x - 2 ) ln ( x - 2 )} d x