de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

3(d^2y)/(dx^2)-21(dy)/(dx)+36y=5sin(3x)

Lösung

3 \frac{d ^{2} y}{d x ^{2}} - 21 \frac{d y}{d x} + 36 y = 5 sin (3 x)

Lösung

y = c_{1} e^{4 x} + c_{2} e^{3 x} + \frac{1}{90} sin (3 x) + \frac{7}{90} cos (3 x)

Schritte zur Lösung

3 \frac{d ^{2} y}{d x ^{2}} - 21 \frac{d y}{d x} + 36 y = 5 sin (3 x)

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{3 x} + \frac{1}{90} sin (3 x) + \frac{7}{90} cos (3 x)

y = c_{1} e^{4 x} + c_{2} e^{3 x} + \frac{1}{90} sin (3 x) + \frac{7}{90} cos (3 x)

Graph

Beliebte Beispiele

derivative sqrt(1/(x^3))

d er i v a t i v e \frac{1}{x ^{3}}

(\partial)/(\partial y)(2xy^2+3x^2)

\frac{\partial}{\partial y} (2 x y^{2} + 3 x^{2})

derivative f(x)=8^x

d er i v a t i v e f (x) = 8^{x}

derivative (2x-3)^3(x^4+1)^2

d er i v a t i v e (2 x - 3)^{3} (x^{4} + 1)^{2}

y^{^{''}} + b \cdot y = 0